Kuznetsov, Alexander; Prokhorov, Yuri Rationality over nonclosed fields of Fano threefolds with higher geometric Picard rank. (English) Zbl 07801285 J. Inst. Math. Jussieu 23, No. 1, 207-247 (2024). MSC: 14E08 14J45 14E30 PDFBibTeX XMLCite \textit{A. Kuznetsov} and \textit{Y. Prokhorov}, J. Inst. Math. Jussieu 23, No. 1, 207--247 (2024; Zbl 07801285) Full Text: DOI arXiv
Prokhorov, Yuri Effective results in the three-dimensional minimal model program. (English) Zbl 07823064 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2324-2345 (2023). MSC: 14E30 14J30 14B05 14E05 PDFBibTeX XMLCite \textit{Y. Prokhorov}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 2324--2345 (2023; Zbl 07823064) Full Text: DOI arXiv OA License
Prokhorov, Yuri; Zaidenberg, Mikhail Affine cones over Fano-Mukai fourfolds of genus 10 are flexible. (English) Zbl 07802933 Dedieu, Thomas (ed.) et al., The art of doing algebraic geometry. Cham: Birkhäuser. Trends Math., 363-383 (2023). MSC: 14J35 14J45 14R10 14R20 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, in: The art of doing algebraic geometry. Cham: Birkhäuser. 363--383 (2023; Zbl 07802933) Full Text: DOI arXiv
Prokhorov, Yuri Finite groups of birational transformations. (English) Zbl 1523.14031 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 413-437 (2023). MSC: 14E07 14J50 14J45 14E30 14-02 PDFBibTeX XMLCite \textit{Y. Prokhorov}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 413--437 (2023; Zbl 1523.14031) Full Text: DOI arXiv
Kuznetsov, Alexander G.; Prokhorov, Yuri G. On higher-dimensional del Pezzo varieties. (English) Zbl 07745501 and Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 3, 75-148 (2023). MSC: 14J45 14E08 14E05 14E30 PDFBibTeX XMLCite \textit{A. G. Kuznetsov} and \textit{Y. G. Prokhorov}, Izv. Math. 87, No. 3, 488--561 (2023; Zbl 07745501) Full Text: DOI arXiv MNR
Prokhorov, Yuri Rationality of Fano threefolds with terminal Gorenstein singularities. II. (English) Zbl 1512.14023 Rend. Circ. Mat. Palermo (2) 72, No. 3, 1797-1821 (2023). Reviewer: Guolei Zhong (Daejeon) MSC: 14J45 14E08 14J30 14E30 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Rend. Circ. Mat. Palermo (2) 72, No. 3, 1797--1821 (2023; Zbl 1512.14023) Full Text: DOI arXiv
Kuznetsov, Alexander; Prokhorov, Yuri Rationality of Fano threefolds over non-closed fields. (English) Zbl 1525.14022 Am. J. Math. 145, No. 2, 335-411 (2023). Reviewer: Anton Fonarev (Moskva) MSC: 14Exx 14E08 14J45 PDFBibTeX XMLCite \textit{A. Kuznetsov} and \textit{Y. Prokhorov}, Am. J. Math. 145, No. 2, 335--411 (2023; Zbl 1525.14022) Full Text: DOI arXiv
Blanc, Jérémy; Cheltsov, Ivan; Duncan, Alexander; Prokhorov, Yuri Finite quasisimple groups acting on rationally connected threefolds. (English) Zbl 1518.14015 Math. Proc. Camb. Philos. Soc. 174, No. 3, 531-568 (2023). Reviewer: Yusuf Mustopa (Boston) MSC: 14E07 14L30 14J45 20D05 20D99 14J30 20B25 PDFBibTeX XMLCite \textit{J. Blanc} et al., Math. Proc. Camb. Philos. Soc. 174, No. 3, 531--568 (2023; Zbl 1518.14015) Full Text: DOI arXiv
Prokhorov, Yuri Rationality of \(\mathbb Q\)-Fano threefolds of large Fano index. (English) Zbl 1524.14108 Abban, Hamid (ed.) et al., Recent developments in algebraic geometry. To Miles Reid for his 70th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 478, 253-274 (2022). MSC: 14M20 14E30 14J45 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Lond. Math. Soc. Lect. Note Ser. 478, 253--274 (2022; Zbl 1524.14108) Full Text: DOI arXiv
Prokhorov, Yuri Conic bundle structures on \(\mathbb{Q}\)-Fano threefolds. (English) Zbl 1518.14061 Electron. Res. Arch. 30, No. 5, 1881-1897 (2022). Reviewer: Noriko Yui (Kingston) MSC: 14J45 14J30 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Electron. Res. Arch. 30, No. 5, 1881--1897 (2022; Zbl 1518.14061) Full Text: DOI arXiv
Prokhorov, Yu. G. Fano threefolds. (Трехмерные многообразия.) (Russian) Zbl 1528.14053 Lektsionnye Kursy NOTs 31. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 978-5-98419-085-5). 153 p., open access (2022). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14J45 14-02 14J30 14J10 14E30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Трехмерные многообразия (Russian). Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (2022; Zbl 1528.14053) Full Text: DOI Link Link
Prokhorov, Yuri; Zaidenberg, Mikhail Fano-Mukai fourfolds of genus 10 and their automorphism groups. (English) Zbl 1489.14055 Eur. J. Math. 8, No. 2, 561-572 (2022). MSC: 14J45 14J50 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, Eur. J. Math. 8, No. 2, 561--572 (2022; Zbl 1489.14055) Full Text: DOI arXiv
Blanc, Jérémy; Cheltsov, Ivan; Duncan, Alexander; Prokhorov, Yuri Birational self-maps of threefolds of (un)-bounded genus or gonality. (English) Zbl 1489.14025 Am. J. Math. 144, No. 2, 575-597 (2022). Reviewer: Chen Jiang (Shanghai) MSC: 14E30 14J45 14E05 14E07 14J30 PDFBibTeX XMLCite \textit{J. Blanc} et al., Am. J. Math. 144, No. 2, 575--597 (2022; Zbl 1489.14025) Full Text: DOI arXiv
Kuznetsov, Alexander; Prokhorov, Yuri Rationality of Mukai varieties over non-closed fields. (English) Zbl 1497.14027 Farkas, Gavril (ed.) et al., Rationality of varieties. Proceedings of the conference, Island of Schiermonnikoog, The Netherlands, spring 2019. Cham: Birkhäuser. Prog. Math. 342, 249-290 (2021). MSC: 14E08 14E05 14J45 14E30 PDFBibTeX XMLCite \textit{A. Kuznetsov} and \textit{Y. Prokhorov}, Prog. Math. 342, 249--290 (2021; Zbl 1497.14027) Full Text: DOI arXiv
Prokhorov, Yuri; Shramov, Constantin Automorphism groups of compact complex surfaces. (English) Zbl 1485.14075 Int. Math. Res. Not. 2021, No. 14, 10490-10520 (2021). Reviewer: Davide Frapporti (Bayreuth) MSC: 14J50 14E07 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{C. Shramov}, Int. Math. Res. Not. 2021, No. 14, 10490--10520 (2021; Zbl 1485.14075) Full Text: DOI arXiv
Prokhorov, Yu. G. Equivariant minimal model program. (English. Russian original) Zbl 1478.14030 Russ. Math. Surv. 76, No. 3, 461-542 (2021); translation from Usp. Mat. Nauk 76, No. 3, 93-182 (2021). Reviewer: Anne-Sophie Kaloghiros (London) MSC: 14E30 14E07 14J50 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Russ. Math. Surv. 76, No. 3, 461--542 (2021; Zbl 1478.14030); translation from Usp. Mat. Nauk 76, No. 3, 93--182 (2021) Full Text: DOI
Prokhorov, Yu. Quasi-simple finite groups of essential dimension 3. (English. Russian original) Zbl 1475.14091 J. Math. Sci., New York 257, No. 6, 876-882 (2021); translation from Fundam. Prikl. Mat. 22, No. 4, 189-199 (2019). MSC: 14L30 14E07 20D99 20E10 14J50 14E05 PDFBibTeX XMLCite \textit{Yu. Prokhorov}, J. Math. Sci., New York 257, No. 6, 876--882 (2021; Zbl 1475.14091); translation from Fundam. Prikl. Mat. 22, No. 4, 189--199 (2019) Full Text: DOI arXiv
Cheltsov, Ivan; Park, Jihun; Prokhorov, Yuri; Zaidenberg, Mikhail Cylinders in Fano varieties. (English) Zbl 1492.14016 EMS Surv. Math. Sci. 8, No. 1-2, 39-105 (2021). Reviewer: Adrien Dubouloz (Dijon) MSC: 14E05 14J45 14J50 14R20 14R25 14E08 14E30 14-02 PDFBibTeX XMLCite \textit{I. Cheltsov} et al., EMS Surv. Math. Sci. 8, No. 1--2, 39--105 (2021; Zbl 1492.14016) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri G. General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. (English. Russian original) Zbl 1478.14029 Sb. Math. 212, No. 3, 351-373 (2021); translation from Mat. Sb. 212, No. 3, 88-111 (2021). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E30 14J30 14J17 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. G. Prokhorov}, Sb. Math. 212, No. 3, 351--373 (2021; Zbl 1478.14029); translation from Mat. Sb. 212, No. 3, 88--111 (2021) Full Text: DOI arXiv
Cheltsov, Ivan; Prokhorov, Yuri Del Pezzo surfaces with infinite automorphism groups. (English) Zbl 1456.14051 Algebr. Geom. 8, No. 3, 319-357 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 14J50 14J17 14J26 PDFBibTeX XMLCite \textit{I. Cheltsov} and \textit{Y. Prokhorov}, Algebr. Geom. 8, No. 3, 319--357 (2021; Zbl 1456.14051) Full Text: DOI arXiv
Prokhorov, Yu. G.; Shramov, C. A. Bounded automorphism groups of compact complex surfaces. (English. Russian original) Zbl 1455.14083 Sb. Math. 211, No. 9, 1310-1322 (2020); translation from Mat. Sb. 211, No. 9, 105-118 (2020). MSC: 14J50 14J27 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov} and \textit{C. A. Shramov}, Sb. Math. 211, No. 9, 1310--1322 (2020; Zbl 1455.14083); translation from Mat. Sb. 211, No. 9, 105--118 (2020) Full Text: DOI arXiv
Prokhorov, Yuri; Shramov, Constantin Automorphism groups of Inoue and Kodaira surfaces. (English) Zbl 1451.14038 Asian J. Math. 24, No. 2, 355-368 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E07 32J15 14J50 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{C. Shramov}, Asian J. Math. 24, No. 2, 355--368 (2020; Zbl 1451.14038) Full Text: DOI arXiv
Prokhorov, Yuri G. Rationality of Fano threefolds with terminal Gorenstein singularities. I. (English. Russian original) Zbl 1471.14032 Proc. Steklov Inst. Math. 307, 210-231 (2019); translation from Tr. Mat. Inst. Steklova 307, 230-253 (2019). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E08 14M20 14J45 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Proc. Steklov Inst. Math. 307, 210--231 (2019; Zbl 1471.14032); translation from Tr. Mat. Inst. Steklova 307, 230--253 (2019) Full Text: DOI arXiv
Prokhorov, Yuri Log-canonical degenerations of del Pezzo surfaces in \(\mathbb{Q}\)-Gorenstein families. (English) Zbl 1440.14173 Kyoto J. Math. 59, No. 4, 1041-1073 (2019). MSC: 14J17 14B07 14E30 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Kyoto J. Math. 59, No. 4, 1041--1073 (2019; Zbl 1440.14173) Full Text: DOI arXiv Euclid
Prokhorov, Yu. G.; Shramov, K. A. Automorphism groups of Moishezon threefolds. (English. Russian original) Zbl 1433.14039 Math. Notes 106, No. 4, 651-655 (2019); translation from Mat. Zametki 106, No. 4, 636-640 (2019). Reviewer: Shengyuan Zhao (Rennes) MSC: 14J50 14J30 14E07 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov} and \textit{K. A. Shramov}, Math. Notes 106, No. 4, 651--655 (2019; Zbl 1433.14039); translation from Mat. Zametki 106, No. 4, 636--640 (2019) Full Text: DOI arXiv
Mori, S.; Prokhorov, Yu. G. Threefold extremal curve germs with one non-Gorenstein point. (English. Russian original) Zbl 1442.14043 Izv. Math. 83, No. 3, 565-612 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 158-212 (2019). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E05 14E30 14J17 14J30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Yu. G. Prokhorov}, Izv. Math. 83, No. 3, 565--612 (2019; Zbl 1442.14043); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 158--212 (2019) Full Text: DOI arXiv
Prokhorov, Yuri; Zaidenberg, Mikhail Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\). (English) Zbl 1423.14244 Eur. J. Math. 4, No. 3, 1197-1263 (2018). MSC: 14J35 14J45 14J50 14L30 14R10 14R20 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, Eur. J. Math. 4, No. 3, 1197--1263 (2018; Zbl 1423.14244) Full Text: DOI arXiv
Catanese, Fabrizio (ed.); Cheltsov, Ivan (ed.); Déserti, Julie (ed.); Prokhorov, Yuri (ed.) Subgroups of Cremona groups. Abstracts from the workshop held June 17–23, 2018. (English) Zbl 1409.00079 Oberwolfach Rep. 15, No. 2, 1685-1743 (2018). MSC: 00B05 00B25 14E07 14E05 14E08 14J45 14-06 14J50 PDFBibTeX XMLCite \textit{F. Catanese} (ed.) et al., Oberwolfach Rep. 15, No. 2, 1685--1743 (2018; Zbl 1409.00079) Full Text: DOI
Kuznetsov, Alexander; Prokhorov, Yuri Prime Fano threefolds of genus 12 with a \(\mathbb{G}_m\)-action. (Solides de Fano primitifs de genre 12 avec action de \(\mathbb{G}_m\) et leurs automorphismes.) (English. French summary) Zbl 1411.14046 Épijournal de Géom. Algébr., EPIGA 2, Article No. 3, 14 p. (2018). Reviewer: Artie Prendergast-Smith (Loughborough) MSC: 14J45 14J50 PDFBibTeX XMLCite \textit{A. Kuznetsov} and \textit{Y. Prokhorov}, Épijournal de Géom. Algébr., EPIGA 2, Article No. 3, 14 p. (2018; Zbl 1411.14046) Full Text: arXiv Link
Prokhorov, Yuriĭ G. The rationality problem for conic bundles. (English. Russian original) Zbl 1400.14040 Russ. Math. Surv. 73, No. 3, 375-456 (2018); translation from Usp. Mat. Nauk 73, No. 3, 3-88 (2018). Reviewer: Chen Jiang (Tokyo) MSC: 14E05 14J30 14E07 14E30 14J45 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Russ. Math. Surv. 73, No. 3, 375--456 (2018; Zbl 1400.14040); translation from Usp. Mat. Nauk 73, No. 3, 3--88 (2018) Full Text: DOI arXiv
Prokhorov, Yuri; Shramov, Constantin Finite groups of birational selfmaps of threefolds. (English) Zbl 1423.14094 Math. Res. Lett. 25, No. 3, 957-972 (2018). MSC: 14E05 14J30 14E07 14J50 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{C. Shramov}, Math. Res. Lett. 25, No. 3, 957--972 (2018; Zbl 1423.14094) Full Text: DOI arXiv
Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. (English) Zbl 1406.14031 Jpn. J. Math. (3) 13, No. 1, 109-185 (2018). Reviewer: Gianluca Occhetta (Trento) MSC: 14J45 14J50 14J30 14C05 PDFBibTeX XMLCite \textit{A. G. Kuznetsov} et al., Jpn. J. Math. (3) 13, No. 1, 109--185 (2018; Zbl 1406.14031) Full Text: DOI arXiv
Prokhorov, Yuri; Shramov, Constantin Jordan constant for Cremona group of rank 3. (English) Zbl 1411.14018 Mosc. Math. J. 17, No. 3, 457-509 (2017). MSC: 14E07 14J30 14J45 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{C. Shramov}, Mosc. Math. J. 17, No. 3, 457--509 (2017; Zbl 1411.14018) Full Text: arXiv Link
Prokhorov, Yuri A simple proof of the non-rationality of a general quartic double solid. (English) Zbl 1401.14076 Bull. Korean Math. Soc. 54, No. 5, 1619-1625 (2017). MSC: 14E08 14J30 14J45 14J50 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Bull. Korean Math. Soc. 54, No. 5, 1619--1625 (2017; Zbl 1401.14076) Full Text: DOI arXiv
Prokhorov, Yuri; Zaidenberg, Mikhail New examples of cylindrical Fano fourfolds. (English) Zbl 1396.14062 Masuda, Kayo (ed.) et al., Algebraic varieties and automorphism groups. Proceedings of the workshop held at RIMS, Kyoto University, Kyoto, Japan, July 7–11, 2014. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-048-8/hbk). Advanced Studies in Pure Mathematics 75, 443-463 (2017). MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, Adv. Stud. Pure Math. 75, 443--463 (2017; Zbl 1396.14062) Full Text: arXiv
Prokhorov, Yu. G. On the number of singular points of terminal factorial Fano threefolds. (English. Russian original) Zbl 1391.14082 Math. Notes 101, No. 6, 1068-1073 (2017); translation from Mat. Zametki 101, No. 6, 949-954 (2017). Reviewer: Chen Jiang (Tokyo) MSC: 14J45 14J30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Math. Notes 101, No. 6, 1068--1073 (2017; Zbl 1391.14082); translation from Mat. Zametki 101, No. 6, 949--954 (2017) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri Threefold extremal contractions of type (IIA), II. arXiv:1707.05047 Preprint, arXiv:1707.05047 [math.AG] (2017). MSC: 14J30 14E05 14E30 BibTeX Cite \textit{S. Mori} and \textit{Y. Prokhorov}, ``Threefold extremal contractions of type (IIA), II'', Preprint, arXiv:1707.05047 [math.AG] (2017) Full Text: arXiv OA License
Prokhorov, Yuri; Reid, Miles On \(\mathbb{Q}\)-Fano \(3\)-folds of Fano index 2. (English) Zbl 1372.14033 Kollár, János (ed.) et al., Minimal models and extremal rays. Proceedings of the conference, RIMS, Kyoto, Japan, June 20–24, 2011. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-036-5/hbk). Advanced Studies in Pure Mathematics 70, 397-420 (2016). Reviewer: Jesus Martinez Garcia (Baltimore) MSC: 14J45 14J30 14E30 14Q15 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Reid}, Adv. Stud. Pure Math. 70, 397--420 (2016; Zbl 1372.14033)
Prokhorov, Yuri G. Singular Fano threefolds of genus 12. (English. Russian original) Zbl 1372.14032 Sb. Math. 207, No. 7, 983-1009 (2016); translation from Mat. Sb. 207, No. 7, 101-130 (2016). Reviewer: Anne-Sophie Kaloghiros (London) MSC: 14J45 14J10 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Sb. Math. 207, No. 7, 983--1009 (2016; Zbl 1372.14032); translation from Mat. Sb. 207, No. 7, 101--130 (2016) Full Text: DOI arXiv
Prokhorov, Yuri G. \(\mathbb{Q}\)-Fano threefolds of index 7. (English. Russian original) Zbl 1360.14111 Proc. Steklov Inst. Math. 294, 139-153 (2016); translation from Tr. Mat. Inst. Steklova 294, 152-166 (2016). Reviewer: Aigli Papantonopoulou (Ewing) MSC: 14J45 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Proc. Steklov Inst. Math. 294, 139--153 (2016; Zbl 1360.14111); translation from Tr. Mat. Inst. Steklova 294, 152--166 (2016) Full Text: DOI arXiv
Mori, S.; Prokhorov, Yu. G. Threefold extremal contractions of type (IIA). I. (English. Russian original) Zbl 1359.14037 Izv. Math. 80, No. 5, 884-909 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 77-102 (2016). Reviewer: Jing Zhang (University Park) MSC: 14J30 14E30 14E05 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Yu. G. Prokhorov}, Izv. Math. 80, No. 5, 884--909 (2016; Zbl 1359.14037); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 77--102 (2016) Full Text: DOI arXiv
Prokhorov, Yuri; Shramov, Constantin Jordan property for Cremona groups. (English) Zbl 1343.14010 Am. J. Math. 138, No. 2, 403-418 (2016). Reviewer: Enrica Floris (Basel) MSC: 14E07 14J45 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{C. Shramov}, Am. J. Math. 138, No. 2, 403--418 (2016; Zbl 1343.14010) Full Text: DOI arXiv Link
Prokhorov, Yuri; Zaidenberg, Mikhail Examples of cylindrical Fano fourfolds. (English) Zbl 1375.14206 Eur. J. Math. 2, No. 1, 262-282 (2016). Reviewer: Adrien Dubouloz (Dijon) MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, Eur. J. Math. 2, No. 1, 262--282 (2016; Zbl 1375.14206) Full Text: DOI arXiv
Prokhorov, Yu. G. Rational surfaces. (Рациональные поверхности.) (Russian) Zbl 1391.14002 Lektsionnye Kursy NOTs 24. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 978-5-98419-063-3). 76 p., open access (2015). MSC: 14-02 14J26 14E05 14M20 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Рациональные поверхности (Russian). Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (2015; Zbl 1391.14002) Full Text: DOI Link
Prokhorov, Yu G. On \(G\)-Fano threefolds. (English. Russian original) Zbl 1331.14019 Izv. Math. 79, No. 4, 795-808 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 4, 159-174 (2015). Reviewer: Anne-Sophie Kaloghiros (London) MSC: 14E05 14E07 14J45 14J30 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Izv. Math. 79, No. 4, 795--808 (2015; Zbl 1331.14019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 4, 159--174 (2015) Full Text: DOI arXiv
Prokhorov, Yuri A note on degenerations of del Pezzo surfaces. (Une remarque sur dégénérescences de surfaces de del Pezzo.) (English. French summary) Zbl 1330.14063 Ann. Inst. Fourier 65, No. 1, 369-388 (2015). Reviewer: Enrica Floris (Bonn) MSC: 14J10 14E30 14J26 14J17 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Ann. Inst. Fourier 65, No. 1, 369--388 (2015; Zbl 1330.14063) Full Text: DOI arXiv
Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail Affine cones over Fano threefolds and additive group actions. (English) Zbl 1308.14066 Osaka J. Math. 51, No. 4, 1093-1112 (2014). Reviewer: Karol Palka (Warszawa) MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{T. Kishimoto} et al., Osaka J. Math. 51, No. 4, 1093--1112 (2014; Zbl 1308.14066) Full Text: arXiv Euclid
Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail Unipotent group actions on del Pezzo cones. (English) Zbl 1418.14016 Algebr. Geom. 1, No. 1, 46-56 (2014). MSC: 14R20 14J26 14J50 PDFBibTeX XMLCite \textit{T. Kishimoto} et al., Algebr. Geom. 1, No. 1, 46--56 (2014; Zbl 1418.14016) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri 3-fold extremal contractions of types (IC) and (IIB). (English) Zbl 1296.14030 Proc. Edinb. Math. Soc., II. Ser. 57, No. 1, 231-252 (2014). Reviewer: Ilya Karzhemanov (Kashiwa) MSC: 14J30 14E05 14E30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Proc. Edinb. Math. Soc., II. Ser. 57, No. 1, 231--252 (2014; Zbl 1296.14030) Full Text: DOI arXiv
Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail \(\mathbb G_{\text a}\)-actions on affine cones. (English) Zbl 1297.14061 Transform. Groups 18, No. 4, 1137-1153 (2013). Reviewer: Ivan V. Arzhantsev (Moscow) MSC: 14R20 14J50 14N05 PDFBibTeX XMLCite \textit{T. Kishimoto} et al., Transform. Groups 18, No. 4, 1137--1153 (2013; Zbl 1297.14061) Full Text: DOI arXiv
Bogomolov, Fedor; Prokhorov, Yuri On stable conjugacy of finite subgroups of the plane Cremona group. I. (English) Zbl 1286.14016 Cent. Eur. J. Math. 11, No. 12, 2099-2105 (2013). Reviewer: Hisanori Ohashi (Yamazaki) MSC: 14E07 14J26 14J50 PDFBibTeX XMLCite \textit{F. Bogomolov} and \textit{Y. Prokhorov}, Cent. Eur. J. Math. 11, No. 12, 2099--2105 (2013; Zbl 1286.14016) Full Text: DOI arXiv
Prokhorov, Yuri \(G\)-Fano threefolds. II. (English) Zbl 1291.14025 Adv. Geom. 13, No. 3, 419-434 (2013). Reviewer: Massimiliano Mella (Ferrara) MSC: 14E07 14E30 14J30 14J45 14J50 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Adv. Geom. 13, No. 3, 419--434 (2013; Zbl 1291.14025) Full Text: DOI arXiv
Prokhorov, Yuri \(G\)-Fano threefolds. I. (English) Zbl 1291.14024 Adv. Geom. 13, No. 3, 389-418 (2013). Reviewer: Massimiliano Mella (Ferrara) MSC: 14E07 14E30 14J30 14J45 14J50 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Adv. Geom. 13, No. 3, 389--418 (2013; Zbl 1291.14024) Full Text: DOI arXiv
Prokhorov, Yu G. Fano threefolds of large Fano index and large degree. (English. Russian original) Zbl 1279.14051 Sb. Math. 204, No. 3, 347-382 (2013); translation from Mat. Sb. 204, No. 3, 43-78 (2013). Reviewer: Ilya Karzhemanov (Kashiwa) MSC: 14J45 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Sb. Math. 204, No. 3, 347--382 (2013; Zbl 1279.14051); translation from Mat. Sb. 204, No. 3, 43--78 (2013) Full Text: DOI arXiv
Prokhorov, Yuri; Reid, Miles On Q-Fano threefolds of Fano index 2. arXiv:1203.0852 Preprint, arXiv:1203.0852 [math.AG] (2012). MSC: 14J45 14J30 14E30 BibTeX Cite \textit{Y. Prokhorov} and \textit{M. Reid}, ``On Q-Fano threefolds of Fano index 2'', Preprint, arXiv:1203.0852 [math.AG] (2012) Full Text: arXiv OA License
Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail Group actions on affine cones. (English) Zbl 1257.14039 Daigle, Daniel (ed.) et al., Affine algebraic geometry: The Russell Festschrift. Outgrow of an international conference, McGill University, Montreal, QC, Canada. June 1–5, 2009, held in honour of Professor Peter Russell on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7283-3/pbk). CRM Proceedings and Lecture Notes 54, 123-163 (2011). Reviewer: Vladimir L. Popov (Moskva) MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{T. Kishimoto} et al., in: Affine algebraic geometry: The Russell Festschrift. Outgrow of an international conference, McGill University, Montreal, QC, Canada. June 1--5, 2009, held in honour of Professor Peter Russell on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS). 123--163 (2011; Zbl 1257.14039) Full Text: arXiv
Mori, Shigefumi; Prokhorov, Yuri Threefold extremal contractions of type (IA). (English) Zbl 1230.14017 Kyoto J. Math. 51, No. 2, 393-438 (2011). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E30 14J30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Kyoto J. Math. 51, No. 2, 393--438 (2011; Zbl 1230.14017) Full Text: DOI arXiv
Prokhorov, Yuri \(\mathbb Q\)-Fano threefolds of large Fano index. I. (English) Zbl 1218.14031 Doc. Math. 15, 843-872 (2010). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14J45 14J30 14E30 PDFBibTeX XMLCite \textit{Y. Prokhorov}, Doc. Math. 15, 843--872 (2010; Zbl 1218.14031) Full Text: arXiv EuDML EMIS
Hacking, Paul; Prokhorov, Yuri Smoothable del Pezzo surfaces with quotient singularities. (English) Zbl 1194.14054 Compos. Math. 146, No. 1, 169-192 (2010). Reviewer: Massimiliano Mella (Ferrara) MSC: 14J10 14E30 14B07 PDFBibTeX XMLCite \textit{P. Hacking} and \textit{Y. Prokhorov}, Compos. Math. 146, No. 1, 169--192 (2010; Zbl 1194.14054) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri Multiple fibers of del Pezzo fibrations. (English) Zbl 1312.14048 Proc. Steklov Inst. Math. 264, 131-145 (2009) and Tr. Mat. Inst. Steklova 264, 137-151 (2009). MSC: 14E30 14J30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Proc. Steklov Inst. Math. 264, 131--145 (2009; Zbl 1312.14048) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri On \(\mathbb Q\)-conic bundles. III. (English) Zbl 1182.14040 Publ. Res. Inst. Math. Sci. 45, No. 3, 787-810 (2009). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J30 14E30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Publ. Res. Inst. Math. Sci. 45, No. 3, 787--810 (2009; Zbl 1182.14040) Full Text: DOI arXiv
Prokhorov, Yu. G.; Shokurov, V. V. Towards the second main theorem on complements. (English) Zbl 1159.14020 J. Algebr. Geom. 18, No. 1, 151-199 (2009). Reviewer: Massimiliano Mella (Ferrara) MSC: 14J40 14E30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov} and \textit{V. V. Shokurov}, J. Algebr. Geom. 18, No. 1, 151--199 (2009; Zbl 1159.14020) Full Text: DOI arXiv
Prokhorov, Yuri Gap conjecture for \(3\)-dimensional canonical thresholds. (English) Zbl 1185.14004 J. Math. Sci., Tokyo 15, No. 4, 449-459 (2008). Reviewer: Ivan Cheltsov (Edinburgh) MSC: 14B05 14J17 PDFBibTeX XMLCite \textit{Y. Prokhorov}, J. Math. Sci., Tokyo 15, No. 4, 449--459 (2008; Zbl 1185.14004) Full Text: arXiv
Mori, Shigefumi; Prokhorov, Yuri On \(\mathbb Q\)-conic bundles. II. (English) Zbl 1162.14011 Publ. Res. Inst. Math. Sci. 44, No. 3, 955-971 (2008). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14E30 14J30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Publ. Res. Inst. Math. Sci. 44, No. 3, 955--971 (2008; Zbl 1162.14011) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri On \(\mathbb Q\)-conic bundles. (English) Zbl 1151.14029 Publ. Res. Inst. Math. Sci. 44, No. 2, 315-369 (2008). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J30 14E30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Publ. Res. Inst. Math. Sci. 44, No. 2, 315--369 (2008; Zbl 1151.14029) Full Text: DOI arXiv
Prokhorov, Yu. G. On Fano-Enriques threefolds. (English. Russian original) Zbl 1174.14035 Sb. Math. 198, No. 4, 559-574 (2007); translation from Mat. Sb. 198, No. 4, 117-134 (2007). Reviewer: Ivan Cheltsov (Edinburgh) MSC: 14J45 14J30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Sb. Math. 198, No. 4, 559--574 (2007; Zbl 1174.14035); translation from Mat. Sb. 198, No. 4, 117--134 (2007) Full Text: DOI arXiv
Prokhorov, Yu G. The degree of \( \mathbb Q\)-Fano threefolds. (English. Russian original) Zbl 1139.14033 Sb. Math. 198, No. 11, 1683-1702 (2007); translation from Mat. Sb. 198, No. 11, 153-174 (2007). Reviewer: Massimiliano Mella (Ferrara) MSC: 14J45 14J30 14E30 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Sb. Math. 198, No. 11, 1683--1702 (2007; Zbl 1139.14033); translation from Mat. Sb. 198, No. 11, 153--174 (2007) Full Text: DOI arXiv
Prokhorov, Yu. G. The degree of Fano threefolds with canonical Gorenstein singularities. (English. Russian original) Zbl 1081.14058 Sb. Math. 196, No. 1, 77-114 (2005); translations from Mat. Sb. 196, No. 1, 81-122 (2005). Reviewer: Luciana Picco Botta (Torino) MSC: 14J45 14J30 14E30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Sb. Math. 196, No. 1, 77--114 (2005; Zbl 1081.14058) Full Text: DOI arXiv
Hacking, Paul; Prokhorov, Yuri Degenerations of del Pezzo surfaces I. arXiv:math/0509529 Preprint, arXiv:math/0509529 [math.AG] (2005). MSC: 14J10 14E30 BibTeX Cite \textit{P. Hacking} and \textit{Y. Prokhorov}, ``Degenerations of del Pezzo surfaces I'', Preprint, arXiv:math/0509529 [math.AG] (2005) Full Text: arXiv
Prokhorov, Yu. G.; Verevkin, A. B. The Riemann-Roch theorem on surfaces with log terminal singularities. (Russian. English summary) Zbl 1073.14018 Fundam. Prikl. Mat. 10, No. 4, 35-42 (2004); translation in J. Math. Sci., New York 140, No. 2, 200-205 (2007). Reviewer: Elena M. Kreines (Moskva) MSC: 14C40 14J26 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov} and \textit{A. B. Verevkin}, Fundam. Prikl. Mat. 10, No. 4, 35--42 (2004; Zbl 1073.14018); translation in J. Math. Sci., New York 140, No. 2, 200--205 (2007)
Prokhorov, Yu. G. On semistable Mori contractions. (English. Russian original) Zbl 1075.14014 Izv. Math. 68, No. 2, 365-374 (2004); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 2, 147-158 (2004). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 14E30 14E05 14J30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Izv. Math. 68, No. 2, 365--374 (2004; Zbl 1075.14014); translation from Izv. Ross. Akad. Nauk Ser. Mat. 68, No. 2, 147--158 (2004) Full Text: DOI arXiv
Prokhorov, Yuri G. A remark on Fano threefolds with canonical Gorenstein singularities. (English) Zbl 1062.14051 Collino, Alberto (ed.) et al., The Fano conference. Papers of the conference organized to commemorate the 50th anniversary of the death of Gino Fano (1871–1952), Torino, Italy, September 29–October 5, 2002. Torino: Università di Torino, Dipartimento di Matematica. 647-657 (2004). Reviewer: Ivan Cheltsov (Edinburgh) MSC: 14J45 14E08 14J30 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, in: The Fano conference. Papers of the conference organized to commemorate the 50th anniversary of the death of Gino Fano (1871--1952), Torino, Italy, September 29--October 5, 2002. Torino: Università di Torino, Dipartimento di Matematica. 647--657 (2004; Zbl 1062.14051) Full Text: arXiv
Prokhorov, Yu. G. \(E1\)-blowing ups of terminal singularities. (English) Zbl 1038.14005 J. Math. Sci., New York 115, No. 3, 2395-2427 (2003). Reviewer: Marko Roczen (Berlin) MSC: 14E15 14E05 14E30 14J30 14J17 14J27 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 115, No. 3, 2395--2427 (2003; Zbl 1038.14005) Full Text: DOI
Prokhorov, Yu. G. Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces. (English) Zbl 1038.14017 J. Math. Sci., New York 115, No. 3, 2378-2394 (2003). Reviewer: Marko Roczen (Berlin) MSC: 14J17 14J28 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 115, No. 3, 2378--2394 (2003; Zbl 1038.14017) Full Text: DOI arXiv
Prokhorov, Yu. G. On log canonical thresholds. II. (English) Zbl 1053.14013 Commun. Algebra 30, No. 12, 5809-5823 (2002). MSC: 14E30 14J17 14J30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Commun. Algebra 30, No. 12, 5809--5823 (2002; Zbl 1053.14013) Full Text: DOI
Prokhorov, Yuri G. On Zariski decomposition problem. arXiv:math/0211335 Preprint, arXiv:math/0211335 [math.AG] (2002). MSC: 14E30 14E05 14J40 BibTeX Cite \textit{Y. G. Prokhorov}, ``On Zariski decomposition problem'', Preprint, arXiv:math/0211335 [math.AG] (2002) Full Text: arXiv
Prokhorov, Yu. G.; Shokurov, V. V. The first main theorem on complements: From global to local. (English. Russian original) Zbl 1068.14018 Izv. Math. 65, No. 6, 1169-1196 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 6, 99-128 (2001). MSC: 14E30 14J40 14E05 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov} and \textit{V. V. Shokurov}, Izv. Math. 65, No. 6, 1169--1196 (2001; Zbl 1068.14018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 6, 99--128 (2001) Full Text: DOI arXiv
Prokhorov, Yu. G. Complements on conic fibrations. I. (English. Russian original) Zbl 1045.14018 J. Math. Sci., New York 106, No. 5, 3353-3364 (2001); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, VINITI, Moscow 186-206 (2001). MSC: 14J30 14E30 14D06 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 106, No. 5, 3353--3364 (2001; Zbl 1045.14018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, VINITI, Moscow 186--206 (2001) Full Text: DOI
Prokhorov, Yu. G. On the Mori classification of conic bundles. (English. Russian original) Zbl 1078.14514 J. Math. Sci., New York 106, No. 5, 3340-3352 (2001); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, 165-185 (2001). MSC: 14E30 14B05 14J30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 106, No. 5, 3340--3352 (2001; Zbl 1078.14514); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, 165--185 (2001) Full Text: DOI
Prokhorov, Yu. G. Lectures on complements on log surfaces. (English) Zbl 1037.14003 MSJ Memoirs 10. Tokyo: Mathematical Society of Japan (ISBN 4-931469-12-4/pbk). 130 p. (2001). MSC: 14E05 14E30 14J17 14J45 14E15 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Lectures on complements on log surfaces. Tokyo: Mathematical Society of Japan (2001; Zbl 1037.14003) Full Text: arXiv
Prokhorov, Yu. G. Sparseness of exceptional quotient singularities. (English. Russian original) Zbl 1060.14521 Math. Notes 68, No. 5, 664-667 (2000); translation from Mat. Zametki 68, No. 5, 786-789 (2000). MSC: 14J17 14E30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Math. Notes 68, No. 5, 664--667 (2000; Zbl 1060.14521); translation from Mat. Zametki 68, No. 5, 786--789 (2000) Full Text: DOI
Prokhorov, Yuri G. Boundedness of nonbirational extremal contractions. (English) Zbl 1060.14510 Int. J. Math. 11, No. 3, 393-411 (2000). MSC: 14E30 14D06 14J30 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Int. J. Math. 11, No. 3, 393--411 (2000; Zbl 1060.14510) Full Text: DOI arXiv
Prokhorov, Yu. G. Blow-ups of canonical singularities. (English) Zbl 1003.14005 Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25-30, 1998. Berlin: Walter de Gruyter. 301-317 (2000). MSC: 14E30 14J30 14B05 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, in: Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25--30, 1998. Berlin: Walter de Gruyter. 301--317 (2000; Zbl 1003.14005) Full Text: arXiv
Markushevich, D.; Prokhorov, Yu. G. Exceptional quotient singularities. (English) Zbl 0958.14003 Am. J. Math. 121, No. 6, 1179-1189 (1999). Reviewer: S.Ohyanagi (Fujisawa) MSC: 14B05 14J17 14H20 14M17 PDFBibTeX XMLCite \textit{D. Markushevich} and \textit{Yu. G. Prokhorov}, Am. J. Math. 121, No. 6, 1179--1189 (1999; Zbl 0958.14003) Full Text: DOI arXiv Link Link
Prokhorov, Yu. G. On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point and a nonsingular base surface. (English) Zbl 0948.14012 J. Math. Sci., New York 95, No. 1, 1986-1995 (1999). Reviewer: A.Iliev (Sofia) MSC: 14E30 14J30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 95, No. 1, 1986--1995 (1999; Zbl 0948.14012) Full Text: DOI arXiv
Prokhorov, Yu. G. Mori conic bundles with a reduced log-terminal boundary. (English) Zbl 0942.14020 J. Math. Sci., New York 94, No. 1, 1051-1059 (1999). Reviewer: A.Iliev (Sofia) MSC: 14J30 14E30 14B05 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 94, No. 1, 1051--1059 (1999; Zbl 0942.14020) Full Text: DOI arXiv
Iskovskikh, V. A.; Prokhorov, Yu. G. Fano varieties. (English) Zbl 0912.14013 Parshin, A. N. (ed.) et al., Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Berlin: Springer. Encycl. Math. Sci. 47, 1-245 (1999). Reviewer: Lucien Bădescu (Bucureşti) MSC: 14J45 14-02 14J10 14E30 PDFBibTeX XMLCite \textit{V. A. Iskovskikh} and \textit{Yu. G. Prokhorov}, in: Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Berlin: Springer. 1--245 (1999; Zbl 0912.14013)
Prokhorov, Yu. G. On the existence of good divisors on Fano manifolds of coindex 3. II. (English) Zbl 0931.14024 J. Math. Sci., New York 85, No. 4, 2115-2127 (1997). MSC: 14J45 14C20 14J35 14J40 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, J. Math. Sci., New York 85, No. 4, 2115--2127 (1997; Zbl 0931.14024) Full Text: DOI
Prokhorov, Yu. G. On the existence of complements of the canonical divisor for Mori conic bundles. (English. Russian original) Zbl 0921.14025 Sb. Math. 188, No. 11, 1665-1685 (1997); translation from Mat. Sb. 188, No. 11, 99-120 (1997). MSC: 14J30 14E30 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Sb. Math. 188, No. 11, 1665--1685 (1997; Zbl 0921.14025); translation from Mat. Sb. 188, No. 11, 99--120 (1997) Full Text: DOI
Prokhorov, Yuri G. On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point. (English) Zbl 0911.14002 Kawamata, Yujiro (ed.) et al., Birational algebraic geometry. A conference on algebraic geometry in memory of Wei-Liang Chow (1911–1995), Baltimore, MD, USA, April 11–14, 1996. Providence, RI: American Mathematical Society. Contemp. Math. 207, 119-141 (1997). MSC: 14E30 14J30 14B05 32S20 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Contemp. Math. 207, 119--141 (1997; Zbl 0911.14002) Full Text: arXiv
Prokhorov, Yu. G. On the general elephant problem for three-dimensional \(\mathbb{Q}\)-Fano fiber spaces over a surface. (Russian. English summary) Zbl 0878.14030 Fundam. Prikl. Mat. 1, No. 1, 263-280 (1995). MSC: 14J30 14C20 14B05 14J17 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Fundam. Prikl. Mat. 1, No. 1, 263--280 (1995; Zbl 0878.14030)
Prokhorov, Yu. G. On algebraic threefolds whose hyperplane sections are Enriques surfaces. (English. Russian original) Zbl 0868.14020 Sb. Math. 186, No. 9, 1341-1352 (1995); translation from Mat. Sb. 186, No. 9, 113-124 (1995). MSC: 14J30 14J45 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Sb. Math. 186, No. 9, 1341--1352 (1995; Zbl 0868.14020); translation from Mat. Sb. 186, No. 9, 113--124 (1995) Full Text: DOI
Prokhorov, Yu. G. The existence of good divisors of Fano varieties of coindex 3. (English. Russian original) Zbl 0873.14037 Proc. Steklov Inst. Math. 208, 234-243 (1995); translation from Tr. Mat. Inst. Steklova 208, 266-277 (1995). Reviewer: Yu.G.Prokhorov (Moskva) MSC: 14J45 14C20 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, in: Number theory, algebra and algebraic geometry. Collected papers. In honor of the seventieth birthday of Academician Igor Rostislavovich Shafarevich. Moscow: Maik Nauka/Interperiodica Publishing. 234--243 (1995; Zbl 0873.14037); translation from Tr. Mat. Inst. Steklova 208, 266--277 (1995) Full Text: arXiv
Prokhorov, Yu. G. The existence of a smooth divisor on Fano 4-folds of index 2. (English. Russian original) Zbl 0848.14018 Russ. Acad. Sci., Sb., Math. 83, No. 1, 119-131 (1995); translation from Mat. Sb. 185, No. 9, 139-152 (1994). MSC: 14J35 14C20 14J45 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Russ. Acad. Sci., Sb., Math. 83, No. 1, 139--152 (1994; Zbl 0848.14018); translation from Mat. Sb. 185, No. 9, 139--152 (1994) Full Text: DOI
Prokhorov, Yu. G. Constructions of rationality of some four-dimensional Fano varieties of index 2. (English. Russian original) Zbl 0808.14032 Mosc. Univ. Math. Bull. 48, No. 2, 32-35 (1993); translation from Vestn. Mosk. Univ., Ser. I 48, No. 2, 35-40 (1993). Reviewer: A.Gimigliano (Firenze) MSC: 14J35 14J45 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Mosc. Univ. Math. Bull. 48, No. 2, 1 (1993; Zbl 0808.14032); translation from Vestn. Mosk. Univ., Ser. I 48, No. 2, 35--40 (1993)
Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. Construction of the rationality of the fields of invariants of some finite four-dimensional linear groups connected with Fano varieties. (Russian) Zbl 0765.14023 Mat. Zametki 51, No. 1, 114-117 (1992). Reviewer: N.Mihalache (Bucureşti) MSC: 14J45 14L24 14M20 PDFBibTeX XMLCite \textit{I. Ya. Kolpakov-Miroshnichenko} and \textit{Yu. G. Prokhorov}, Mat. Zametki 51, No. 1, 114--117 (1992; Zbl 0765.14023)
Prokhorov, Yu. G. Invariant submanifolds in spaces of binary forms. (English. Russian original) Zbl 0807.14008 Russ. Math. Surv. 47, No. 4, 224-225 (1992); translation from Usp. Mat. Nauk 47, No. 4(286), 209-210 (1992). MSC: 14L24 14L30 14J45 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Russ. Math. Surv. 47, No. 4, 209--210 (1992; Zbl 0807.14008); translation from Usp. Mat. Nauk 47, No. 4(286), 209--210 (1992) Full Text: DOI
Prokhorov, Yu. G. Invariant subvarieties in spaces of binary forms. (Russian) Zbl 0787.14024 Algebra Anal. 4, No. 5, 172-180 (1992). MSC: 14J30 14J45 11E16 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Algebra Anal. 4, No. 5, 172--180 (1992; Zbl 0787.14024)
Prokhorov, Yu. G. Invariant subvarieties in spaces of binary forms. (English. Russian original) Zbl 0792.14020 St. Petersbg. Math. J. 4, No. 5, 981-988 (1993); translation from Algebra Anal. 4, No. 5, 172-180 (1992). MSC: 14J30 14J45 11E16 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, St. Petersbg. Math. J. 4, No. 5, 981--988 (1992; Zbl 0792.14020); translation from Algebra Anal. 4, No. 5, 172--180 (1992)
Prokhorov, Yu. G. Fano threefolds of genus 12 and compactifications of \(\mathbb{C}^ 3\). (English. Russian original) Zbl 0790.14038 St. Petersbg. Math. J. 3, No. 4, 855-864 (1992); translation from Algebra Anal. 3, No. 4, 162-170 (1991). Reviewer: R.R.Simha (Bombay) MSC: 14J45 32J05 14J30 32J17 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, St. Petersbg. Math. J. 3, No. 4, 855--864 (1991; Zbl 0790.14038); translation from Algebra Anal. 3, No. 4, 162--170 (1991)