Fujita, Kento K-stability of log Fano hyperplane arrangements. (English) Zbl 1482.14043 J. Algebr. Geom. 30, No. 4, 603-630 (2021). Reviewer: Chuyu Zhou (Beijing) MSC: 14J45 14L24 32Q20 PDFBibTeX XMLCite \textit{K. Fujita}, J. Algebr. Geom. 30, No. 4, 603--630 (2021; Zbl 1482.14043) Full Text: DOI arXiv
Braun, Lukas The local fundamental group of a Kawamata log terminal singularity is finite. (English) Zbl 1479.14029 Invent. Math. 226, No. 3, 845-896 (2021). Reviewer: Patrick Graf (Bayreuth) MSC: 14F35 14B05 14J45 32S50 PDFBibTeX XMLCite \textit{L. Braun}, Invent. Math. 226, No. 3, 845--896 (2021; Zbl 1479.14029) Full Text: DOI arXiv
Arvidsson, Emelie On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic. (English) Zbl 1481.14027 Math. Z. 299, No. 3-4, 2199-2214 (2021). MSC: 14E30 14F17 14J45 13A35 PDFBibTeX XMLCite \textit{E. Arvidsson}, Math. Z. 299, No. 3--4, 2199--2214 (2021; Zbl 1481.14027) Full Text: DOI arXiv
Fatighenti, Enrico; Mongardi, Giovanni A note on a Griffiths-type ring for complete intersections in Grassmannians. (English) Zbl 1491.14016 Math. Z. 299, No. 3-4, 1651-1672 (2021). Reviewer: Mihai Fulger (Storrs) MSC: 14C30 14J70 14J45 14J32 14M10 14M15 PDFBibTeX XMLCite \textit{E. Fatighenti} and \textit{G. Mongardi}, Math. Z. 299, No. 3--4, 1651--1672 (2021; Zbl 1491.14016) Full Text: DOI arXiv Link
Li, Sichen; Matsuzawa, Yohsuke A note on Kawaguchi-Silverman conjecture. (English) Zbl 1487.37105 Int. J. Math. 32, No. 11, Article ID 2150085, 12 p. (2021). MSC: 37P55 08A35 14J45 PDFBibTeX XMLCite \textit{S. Li} and \textit{Y. Matsuzawa}, Int. J. Math. 32, No. 11, Article ID 2150085, 12 p. (2021; Zbl 1487.37105) Full Text: DOI arXiv
Bini, Gilberto; Iacono, Donatella Deformations of Calabi-Yau manifolds in Fano toric varieties. (English) Zbl 1475.14061 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1399-1412 (2021). MSC: 14J15 14J32 14D15 14J45 14M25 14M10 32G10 PDFBibTeX XMLCite \textit{G. Bini} and \textit{D. Iacono}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1399--1412 (2021; Zbl 1475.14061) Full Text: DOI arXiv
Feng, Ke; Shen, Liangming The partial \(C^0\)-estimate along a general continuity path and applications. (English) Zbl 1492.53088 Sci. China, Math. 64, No. 11, 2495-2520 (2021). Reviewer: Yalong Shi (Nanjing) MSC: 53C55 14J45 PDFBibTeX XMLCite \textit{K. Feng} and \textit{L. Shen}, Sci. China, Math. 64, No. 11, 2495--2520 (2021; Zbl 1492.53088) Full Text: DOI arXiv
Das, Nilkantha; Mukherjee, Ritwik Counting planar curves in \(\mathbb{P}^3\) with degenerate singularities. (English) Zbl 1477.14090 Bull. Sci. Math. 173, Article ID 103065, 64 p. (2021). Reviewer: Dmitry Kerner (Rehovot) MSC: 14N35 14J45 PDFBibTeX XMLCite \textit{N. Das} and \textit{R. Mukherjee}, Bull. Sci. Math. 173, Article ID 103065, 64 p. (2021; Zbl 1477.14090) Full Text: DOI arXiv
Li, Duo Projective bundles and blowing ups. (English. French summary) Zbl 1473.14081 C. R., Math., Acad. Sci. Paris 359, No. 9, 1129-1133 (2021). MSC: 14J45 14E30 PDFBibTeX XMLCite \textit{D. Li}, C. R., Math., Acad. Sci. Paris 359, No. 9, 1129--1133 (2021; Zbl 1473.14081) Full Text: DOI
Sato, Hiroshi A sufficient condition for a toric weak Fano 4-fold to be deformed to a Fano manifold. (English) Zbl 1481.14080 J. Korean Math. Soc. 58, No. 5, 1081-1107 (2021). MSC: 14M25 14D15 14J45 14J10 PDFBibTeX XMLCite \textit{H. Sato}, J. Korean Math. Soc. 58, No. 5, 1081--1107 (2021; Zbl 1481.14080) Full Text: DOI arXiv
Muratore, Giosuè Emanuele Betti numbers and pseudoeffective cones in 2-Fano varieties. (English) Zbl 1481.14068 Adv. Geom. 21, No. 4, 505-514 (2021). MSC: 14J45 14M15 PDFBibTeX XMLCite \textit{G. E. Muratore}, Adv. Geom. 21, No. 4, 505--514 (2021; Zbl 1481.14068) Full Text: DOI arXiv
Zhuang, Ziquan Optimal destabilizing centers and equivariant K-stability. (English) Zbl 1483.14076 Invent. Math. 226, No. 1, 195-223 (2021). Reviewer: Yuchen Liu (Evanston) MSC: 14J45 32Q26 53C55 PDFBibTeX XMLCite \textit{Z. Zhuang}, Invent. Math. 226, No. 1, 195--223 (2021; Zbl 1483.14076) Full Text: DOI arXiv Link
Suyama, Yusuke Toric Fano varieties associated to graph cubeahedra. (English) Zbl 1473.14097 Commun. Algebra 49, No. 11, 4947-4956 (2021). MSC: 14M25 14J45 52B20 05C30 PDFBibTeX XMLCite \textit{Y. Suyama}, Commun. Algebra 49, No. 11, 4947--4956 (2021; Zbl 1473.14097) Full Text: DOI arXiv
Cavey, Daniel; Higashitani, Akihiro Winding number of \(r\)-modular sequences and applications to the singularity content of a Fano polygon. (English) Zbl 1520.14094 Tôhoku Math. J. (2) 73, No. 1, 137-158 (2021). MSC: 14M25 05E14 52B20 14B05 14J45 PDFBibTeX XMLCite \textit{D. Cavey} and \textit{A. Higashitani}, Tôhoku Math. J. (2) 73, No. 1, 137--158 (2021; Zbl 1520.14094) Full Text: DOI arXiv
Li, Yan Existence of Kähler-Ricci solitons on smoothable \(\mathbb{Q}\)-Fano varieties. (English) Zbl 1486.53107 Adv. Math. 391, Article ID 107975, 37 p. (2021). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53E30 53C25 32Q15 14J45 PDFBibTeX XMLCite \textit{Y. Li}, Adv. Math. 391, Article ID 107975, 37 p. (2021; Zbl 1486.53107) Full Text: DOI arXiv
Yoshikawa, Shou Structure of Fano fibrations of varieties admitting an int-amplified endomorphism. (English) Zbl 1479.14021 Adv. Math. 391, Article ID 107964, 32 p. (2021). Reviewer: Jie Liu (Beijing) MSC: 14E30 14J45 20K30 14D06 37F99 PDFBibTeX XMLCite \textit{S. Yoshikawa}, Adv. Math. 391, Article ID 107964, 32 p. (2021; Zbl 1479.14021) Full Text: DOI arXiv
Dasgupta, Jyoti; Dey, Arijit; Khan, Bivas Erratum to: “Stability of equivariant vector bundles over toric varieties”. (English) Zbl 1473.14095 Doc. Math. 26, 1271-1274 (2021). MSC: 14M25 14J60 14J45 PDFBibTeX XMLCite \textit{J. Dasgupta} et al., Doc. Math. 26, 1271--1274 (2021; Zbl 1473.14095) Full Text: DOI
Antonelli, Vincenzo; Casnati, Gianfranco; Genc, Ozhan Instanton bundles on \(\mathbb{P}^1 \times \mathbb{F}_1\). (English) Zbl 1471.14029 Commun. Algebra 49, No. 8, 3594-3613 (2021). Reviewer: Krishanu Dan (Odisha) MSC: 14D21 14J60 14J45 PDFBibTeX XMLCite \textit{V. Antonelli} et al., Commun. Algebra 49, No. 8, 3594--3613 (2021; Zbl 1471.14029) Full Text: DOI arXiv
Das, Omprokash On the boundedness of anti-canonical volumes of singular Fano 3-folds in characteristic \(p>5\). (English) Zbl 1489.14053 Int. Math. Res. Not. 2021, No. 9, 6848-6870 (2021). Reviewer: Justin Lacini (Lawrence) MSC: 14J45 14J30 14E30 PDFBibTeX XMLCite \textit{O. Das}, Int. Math. Res. Not. 2021, No. 9, 6848--6870 (2021; Zbl 1489.14053) Full Text: DOI arXiv
Suzuki, Taku Higher order minimal families of rational curves and Fano manifolds with nef Chern characters. (English) Zbl 1470.14080 J. Math. Soc. Japan 73, No. 3, 949-964 (2021). MSC: 14J45 14C17 14M20 PDFBibTeX XMLCite \textit{T. Suzuki}, J. Math. Soc. Japan 73, No. 3, 949--964 (2021; Zbl 1470.14080) Full Text: DOI arXiv
Li, Chi; Wang, Xiaowei; Xu, Chenyang Algebraicity of the metric tangent cones and equivariant K-stability. (English) Zbl 1475.14062 J. Am. Math. Soc. 34, No. 4, 1175-1214 (2021). Reviewer: Chuyu Zhou (Beijing) MSC: 14J17 14J45 PDFBibTeX XMLCite \textit{C. Li} et al., J. Am. Math. Soc. 34, No. 4, 1175--1214 (2021; Zbl 1475.14062) Full Text: DOI arXiv
Delcroix, Thibaut; Hultgren, Jakob Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds. (English. French summary) Zbl 1490.53087 J. Math. Pures Appl. (9) 153, 281-315 (2021). Reviewer: Quanting Zhao (Wuhan) MSC: 53C55 14M27 32M12 14J45 32Q15 14L30 32Q20 35J96 PDFBibTeX XMLCite \textit{T. Delcroix} and \textit{J. Hultgren}, J. Math. Pures Appl. (9) 153, 281--315 (2021; Zbl 1490.53087) Full Text: DOI arXiv
Xu, Chenyang K-stability of Fano varieties: an algebro-geometric approach. (English) Zbl 1476.14030 EMS Surv. Math. Sci. 8, No. 1-2, 265-354 (2021). Reviewer: Jie Liu (Nice) MSC: 14D20 14E30 14J10 14J45 PDFBibTeX XMLCite \textit{C. Xu}, EMS Surv. Math. Sci. 8, No. 1--2, 265--354 (2021; Zbl 1476.14030) 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
Rubinstein, Yanir A.; Tian, Gang; Zhang, Kewei Basis divisors and balanced metrics. (English) Zbl 1480.14032 J. Reine Angew. Math. 778, 171-218 (2021). Reviewer: Xiangyu Zhou (Beijing) MSC: 14J45 32Q26 53C55 PDFBibTeX XMLCite \textit{Y. A. Rubinstein} et al., J. Reine Angew. Math. 778, 171--218 (2021; Zbl 1480.14032) Full Text: DOI arXiv
Faenzi, Daniele; Malaspina, Francesco; Sanna, Giangiacomo Non-Ulrich representation type. (English) Zbl 1475.14079 Algebr. Geom. 8, No. 4, 405-429 (2021). Reviewer: Joan Pons-Llopis (Maó) MSC: 14J60 16G60 13C14 14F08 14J20 14J45 16H05 16G50 PDFBibTeX XMLCite \textit{D. Faenzi} et al., Algebr. Geom. 8, No. 4, 405--429 (2021; Zbl 1475.14079) Full Text: DOI arXiv
Larson, Hannah K. Normal bundles of lines on hypersurfaces. (English) Zbl 1477.14016 Mich. Math. J. 70, No. 1, 115-131 (2021). Reviewer: Amit Kumar Singh (Chennai) MSC: 14C25 14J45 14M15 PDFBibTeX XMLCite \textit{H. K. Larson}, Mich. Math. J. 70, No. 1, 115--131 (2021; Zbl 1477.14016) Full Text: DOI arXiv
Staglianò, Giovanni Some new rational Gushel fourfolds. (English) Zbl 1473.14078 Mediterr. J. Math. 18, No. 5, Paper No. 182, 17 p. (2021). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14J35 14J45 68W30 14Q10 PDFBibTeX XMLCite \textit{G. Staglianò}, Mediterr. J. Math. 18, No. 5, Paper No. 182, 17 p. (2021; Zbl 1473.14078) Full Text: DOI arXiv
Patakfalvi, Zsolt; Zdanowicz, Maciej Ordinary varieties with trivial canonical bundle are not uniruled. (English) Zbl 1493.14042 Math. Ann. 380, No. 3-4, 1767-1799 (2021). Reviewer: Adrian Langer (Warszawa) MSC: 14G17 14M17 14M25 14J45 PDFBibTeX XMLCite \textit{Z. Patakfalvi} and \textit{M. Zdanowicz}, Math. Ann. 380, No. 3--4, 1767--1799 (2021; Zbl 1493.14042) Full Text: DOI arXiv
Sano, Yuji A polar dual to the momentum of toric Fano manifolds. (English) Zbl 1468.14089 Complex Manifolds 8, 230-246 (2021). MSC: 14M25 14J45 32Q20 PDFBibTeX XMLCite \textit{Y. Sano}, Complex Manifolds 8, 230--246 (2021; Zbl 1468.14089) Full Text: DOI
Petracci, Andrea Homogeneous deformations of toric pairs. (English) Zbl 1470.14011 Manuscr. Math. 166, No. 1-2, 37-72 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14B07 14M25 14J45 PDFBibTeX XMLCite \textit{A. Petracci}, Manuscr. Math. 166, No. 1--2, 37--72 (2021; Zbl 1470.14011) Full Text: DOI arXiv
Felten, Simon; Filip, Matej; Ruddat, Helge Smoothing toroidal crossing spaces. (English) Zbl 1483.14067 Forum Math. Pi 9, Paper No. e7, 36 p. (2021). Reviewer: Siu Cheong Lau (Boston) MSC: 14J32 32G05 14J45 PDFBibTeX XMLCite \textit{S. Felten} et al., Forum Math. Pi 9, Paper No. e7, 36 p. (2021; Zbl 1483.14067) Full Text: DOI arXiv
Pukhlikov, A. V. Remarks on Galois rational coverings. (English. Russian original) Zbl 1468.14028 Math. Notes 110, No. 2, 242-247 (2021); translation from Mat. Zametki 110, No. 2, 258-265 (2021). MSC: 14E20 14J45 14C20 PDFBibTeX XMLCite \textit{A. V. Pukhlikov}, Math. Notes 110, No. 2, 242--247 (2021; Zbl 1468.14028); translation from Mat. Zametki 110, No. 2, 258--265 (2021) Full Text: DOI
Shen, Xi Sisi The Kähler-Ricci flow, holomorphic vector fields and Fano bundles. (English) Zbl 1480.53112 Trans. Am. Math. Soc. 374, No. 9, 6751-6768 (2021). MSC: 53E30 14J45 PDFBibTeX XMLCite \textit{X. S. Shen}, Trans. Am. Math. Soc. 374, No. 9, 6751--6768 (2021; Zbl 1480.53112) Full Text: DOI arXiv
Blum, Harold; Halpern-Leistner, Daniel; Liu, Yuchen; Xu, Chenyang On properness of K-moduli spaces and optimal degenerations of Fano varieties. (English) Zbl 1477.14021 Sel. Math., New Ser. 27, No. 4, Paper No. 73, 39 p. (2021). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14D20 14J45 PDFBibTeX XMLCite \textit{H. Blum} et al., Sel. Math., New Ser. 27, No. 4, Paper No. 73, 39 p. (2021; Zbl 1477.14021) Full Text: DOI arXiv
Das, Omprokash Kawamata-Viehweg vanishing theorem for del Pezzo surfaces over imperfect fields of characteristic \(p> 3\). (English) Zbl 1468.14029 Osaka J. Math. 58, No. 2, 477-486 (2021). MSC: 14E30 14F17 14J45 14G17 PDFBibTeX XMLCite \textit{O. Das}, Osaka J. Math. 58, No. 2, 477--486 (2021; Zbl 1468.14029) Full Text: arXiv Euclid
Kaloghiros, Anne-Sophie; Petracci, Andrea On toric geometry and K-stability of Fano varieties. (English) Zbl 1476.14075 Trans. Am. Math. Soc., Ser. B 8, 548-577 (2021). Reviewer: Ruadhaí Dervan (Cambridge) MSC: 14J45 14M25 14B07 14D23 PDFBibTeX XMLCite \textit{A.-S. Kaloghiros} and \textit{A. Petracci}, Trans. Am. Math. Soc., Ser. B 8, 548--577 (2021; Zbl 1476.14075) Full Text: DOI arXiv
Li, Chi; Tian, Gang; Wang, Feng On the Yau-Tian-Donaldson conjecture for singular Fano varieties. (English) Zbl 1484.32041 Commun. Pure Appl. Math. 74, No. 8, 1748-1800 (2021). MSC: 32Q20 14J45 53C55 PDFBibTeX XMLCite \textit{C. Li} et al., Commun. Pure Appl. Math. 74, No. 8, 1748--1800 (2021; Zbl 1484.32041) Full Text: DOI arXiv
Fatighenti, Enrico; Mongardi, Giovanni Fano varieties of \(K3\)-type and IHS manifolds. (English) Zbl 1487.14088 Int. Math. Res. Not. 2021, No. 4, 3097-3142 (2021). Reviewer: Christian Lehn (Chemnitz) MSC: 14J45 14J42 14J28 14F08 53C26 PDFBibTeX XMLCite \textit{E. Fatighenti} and \textit{G. Mongardi}, Int. Math. Res. Not. 2021, No. 4, 3097--3142 (2021; Zbl 1487.14088) Full Text: DOI arXiv
Liu, Yuchen; Zhuang, Ziquan Birational superrigidity and \(K\)-stability of singular Fano complete intersections. (English) Zbl 1467.14035 Int. Math. Res. Not. 2021, No. 1, 384-403 (2021). MSC: 14E05 14J45 14E08 14M10 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{Z. Zhuang}, Int. Math. Res. Not. 2021, No. 1, 384--403 (2021; Zbl 1467.14035) Full Text: DOI arXiv
Liu, Jiawei; Zhang, Xi Stability of the conical Kähler-Ricci flows on Fano manifolds. (English) Zbl 1472.53106 Commun. Partial Differ. Equations 46, No. 6, 953-1004 (2021). MSC: 53E30 35K96 14J45 PDFBibTeX XMLCite \textit{J. Liu} and \textit{X. Zhang}, Commun. Partial Differ. Equations 46, No. 6, 953--1004 (2021; Zbl 1472.53106) Full Text: DOI arXiv
Blanc, Jérémy; Lamy, Stéphane; Zimmermann, Susanna Quotients of higher-dimensional Cremona groups. (English) Zbl 1476.14031 Acta Math. 226, No. 2, 211-318 (2021). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E05 14E07 14E30 14J45 20F05 20L05 PDFBibTeX XMLCite \textit{J. Blanc} et al., Acta Math. 226, No. 2, 211--318 (2021; Zbl 1476.14031) Full Text: DOI arXiv
Kawakami, Tatsuro On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic. (English) Zbl 1467.14055 Trans. Am. Math. Soc. 374, No. 8, 5697-5717 (2021). MSC: 14F17 14J45 14E30 14J26 14G17 14J30 PDFBibTeX XMLCite \textit{T. Kawakami}, Trans. Am. Math. Soc. 374, No. 8, 5697--5717 (2021; Zbl 1467.14055) Full Text: DOI arXiv
Canning, Samir On a conjecture on the variety of lines on Fano complete intersections. (English) Zbl 1467.14102 Ann. Mat. Pura Appl. (4) 200, No. 5, 2127-2131 (2021). MSC: 14J45 14M10 PDFBibTeX XMLCite \textit{S. Canning}, Ann. Mat. Pura Appl. (4) 200, No. 5, 2127--2131 (2021; Zbl 1467.14102) Full Text: DOI arXiv Backlinks: MO
Fu, Lie; Laterveer, Robert; Vial, Charles Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type. (English) Zbl 1475.14008 Ann. Mat. Pura Appl. (4) 200, No. 5, 2085-2126 (2021). Reviewer: Christian Lehn (Chemnitz) MSC: 14C15 14C25 14C30 14J45 14J42 PDFBibTeX XMLCite \textit{L. Fu} et al., Ann. Mat. Pura Appl. (4) 200, No. 5, 2085--2126 (2021; Zbl 1475.14008) Full Text: DOI arXiv
Pukhlikov, Aleksandr V. Birational geometry of singular Fano double spaces of index two. (English. Russian original) Zbl 1473.14023 Sb. Math. 212, No. 4, 551-566 (2021); translation from Mat. Sb. 212, No. 4, 113-130 (2021). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 14E05 14E07 14J45 PDFBibTeX XMLCite \textit{A. V. Pukhlikov}, Sb. Math. 212, No. 4, 551--566 (2021; Zbl 1473.14023); translation from Mat. Sb. 212, No. 4, 113--130 (2021) Full Text: DOI arXiv
Lai, Ching-Jui On anticanonical volumes of weak \(\mathbb{Q}\)-Fano terminal threefolds of Picard rank two. (English) Zbl 1467.14096 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 315-331 (2021). MSC: 14J30 14J45 14E30 PDFBibTeX XMLCite \textit{C.-J. Lai}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 315--331 (2021; Zbl 1467.14096) Full Text: DOI
Park, Jihun; Won, Joonyeong Simply connected Sasaki-Einstein rational homology 5-spheres. (English) Zbl 1476.53074 Duke Math. J. 170, No. 6, 1085-1112 (2021). Reviewer: Rui Albuquerque (Lisboa) MSC: 53C25 14J45 53C55 32Q20 PDFBibTeX XMLCite \textit{J. Park} and \textit{J. Won}, Duke Math. J. 170, No. 6, 1085--1112 (2021; Zbl 1476.53074) Full Text: DOI arXiv
Przyjalkowski, V. V.; Shramov, C. A. Smooth prime Fano complete intersections in toric varieties. (English. Russian original) Zbl 1465.14046 Math. Notes 109, No. 4, 609-613 (2021); translation from Mat. Zametki 109, No. 4, 590-596 (2021). MSC: 14J45 14M10 14M25 PDFBibTeX XMLCite \textit{V. V. Przyjalkowski} and \textit{C. A. Shramov}, Math. Notes 109, No. 4, 609--613 (2021; Zbl 1465.14046); translation from Mat. Zametki 109, No. 4, 590--596 (2021) Full Text: DOI arXiv
Ni, Lei; Wang, Qingsong; Zheng, Fangyang Manifolds with positive orthogonal Ricci curvature. (English) Zbl 1469.53111 Am. J. Math. 143, No. 3, 833-857 (2021). MSC: 53C55 14J45 PDFBibTeX XMLCite \textit{L. Ni} et al., Am. J. Math. 143, No. 3, 833--857 (2021; Zbl 1469.53111) Full Text: DOI arXiv
Achinger, Piotr; Witaszek, Jakub; Zdanowicz, Maciej Global Frobenius liftability. I. (English) Zbl 1471.14055 J. Eur. Math. Soc. (JEMS) 23, No. 8, 2601-2648 (2021). Reviewer: Marta Pieropan (Utrecht) MSC: 14G17 14M17 14M25 14J45 PDFBibTeX XMLCite \textit{P. Achinger} et al., J. Eur. Math. Soc. (JEMS) 23, No. 8, 2601--2648 (2021; Zbl 1471.14055) Full Text: DOI arXiv
Hu, Jianxun; Ke, Huazhong; Li, Changzheng; Yang, Tuo Gamma conjecture I for del Pezzo surfaces. (English) Zbl 1506.14110 Adv. Math. 386, Article ID 107797, 40 p. (2021). MSC: 14N35 14J45 14J33 14J26 PDFBibTeX XMLCite \textit{J. Hu} et al., Adv. Math. 386, Article ID 107797, 40 p. (2021; Zbl 1506.14110) Full Text: DOI arXiv
Averkov, Gennadiy; Borger, Christopher; Soprunov, Ivan Classification of triples of lattice polytopes with a given mixed volume. (English) Zbl 1465.52025 Discrete Comput. Geom. 66, No. 1, 165-202 (2021). MSC: 52B20 14M25 52B10 14J45 52C07 52A39 52A38 PDFBibTeX XMLCite \textit{G. Averkov} et al., Discrete Comput. Geom. 66, No. 1, 165--202 (2021; Zbl 1465.52025) Full Text: DOI arXiv
Gallardo, Patricio; Martinez-Garcia, Jesus; Spotti, Cristiano Applications of the moduli continuity method to log K-stable pairs. (English) Zbl 1470.32066 J. Lond. Math. Soc., II. Ser. 103, No. 2, 729-759 (2021). MSC: 32Q20 14J45 PDFBibTeX XMLCite \textit{P. Gallardo} et al., J. Lond. Math. Soc., II. Ser. 103, No. 2, 729--759 (2021; Zbl 1470.32066) Full Text: DOI arXiv
Okada, Takuzo Smooth weighted hypersurfaces that are not stably rational. (Hypersurfaces pondérées lisses qui ne sont pas stablement rationnelles.) (English. French summary) Zbl 1509.14030 Ann. Inst. Fourier 71, No. 1, 203-237 (2021). MSC: 14E08 14J45 14J70 PDFBibTeX XMLCite \textit{T. Okada}, Ann. Inst. Fourier 71, No. 1, 203--237 (2021; Zbl 1509.14030) Full Text: DOI arXiv
Watanabe, Kiwamu Positivity of the second exterior power of the tangent bundles. (English) Zbl 1470.14077 Adv. Math. 385, Article ID 107757, 27 p. (2021). Reviewer: Roberto Muñoz (Madrid) MSC: 14J40 14J45 14M17 14E30 PDFBibTeX XMLCite \textit{K. Watanabe}, Adv. Math. 385, Article ID 107757, 27 p. (2021; Zbl 1470.14077) Full Text: DOI arXiv
Kim, In-Kyun; Won, Joonyeong Unstable singular del Pezzo hypersurfaces with lower index. (English) Zbl 1475.14066 Commun. Algebra 49, No. 6, 2679-2688 (2021). MSC: 14J26 14J45 53C25 PDFBibTeX XMLCite \textit{I.-K. Kim} and \textit{J. Won}, Commun. Algebra 49, No. 6, 2679--2688 (2021; Zbl 1475.14066) Full Text: DOI arXiv
Li, Yan; Zhu, Xiaohua Tian’s \(\alpha_{m,k}^{\hat{K}}\)-invariants on group compactifications. (English) Zbl 1467.53076 Math. Z. 298, No. 1-2, 231-259 (2021). MSC: 53C55 32Q20 32Q15 14J45 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X. Zhu}, Math. Z. 298, No. 1--2, 231--259 (2021; Zbl 1467.53076) Full Text: DOI arXiv
Bernasconi, Fabio Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3. (English) Zbl 1505.14036 J. Pure Appl. Algebra 225, No. 11, Article ID 106727, 16 p. (2021). Reviewer: Andrea Fanelli (Talence) MSC: 14E30 14G17 14J17 14J45 PDFBibTeX XMLCite \textit{F. Bernasconi}, J. Pure Appl. Algebra 225, No. 11, Article ID 106727, 16 p. (2021; Zbl 1505.14036) Full Text: DOI arXiv
Ni, Lei The fundamental group, rational connectedness and the positivity of Kähler manifolds. (English) Zbl 1470.53063 J. Reine Angew. Math. 774, 267-299 (2021). MSC: 53C55 57M05 14M22 14J45 PDFBibTeX XMLCite \textit{L. Ni}, J. Reine Angew. Math. 774, 267--299 (2021; Zbl 1470.53063) Full Text: DOI arXiv
Kanemitsu, Akihiro Fano manifolds and stability of tangent bundles. (English) Zbl 1472.14044 J. Reine Angew. Math. 774, 163-183 (2021). Reviewer: Andreas Höring (Nice) MSC: 14J45 32Q26 14J60 53C55 PDFBibTeX XMLCite \textit{A. Kanemitsu}, J. Reine Angew. Math. 774, 163--183 (2021; Zbl 1472.14044) Full Text: DOI arXiv
Huang, An; Lian, Bong; Yau, Shing-Tung; Yu, Chenglong Period integrals of vector bundle sections and tautological systems. (English) Zbl 1462.14009 Math. Res. Lett. 28, No. 2, 415-434 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 14J45 34M35 PDFBibTeX XMLCite \textit{A. Huang} et al., Math. Res. Lett. 28, No. 2, 415--434 (2021; Zbl 1462.14009) Full Text: DOI arXiv
Futaki, Akito Irregular Eguchi-Hanson type metrics and their soliton analogues. (English) Zbl 1466.53080 Pure Appl. Math. Q. 17, No. 1, 27-53 (2021). MSC: 53C55 53C21 14J45 PDFBibTeX XMLCite \textit{A. Futaki}, Pure Appl. Math. Q. 17, No. 1, 27--53 (2021; Zbl 1466.53080) Full Text: DOI arXiv
Kim, In-Kyun; Okada, Takuzo; Won, Joonyeong Alpha invariants of birationally bi-rigid Fano 3-folds I. (English) Zbl 1479.14050 Eur. J. Math. 7, No. 1, 272-308 (2021). Reviewer: Adrien Dubouloz (Dijon) MSC: 14J45 14J30 53C25 PDFBibTeX XMLCite \textit{I.-K. Kim} et al., Eur. J. Math. 7, No. 1, 272--308 (2021; Zbl 1479.14050) Full Text: DOI arXiv
Zhu, Ziwen A note on equivariant K-stability. (English) Zbl 1473.14083 Eur. J. Math. 7, No. 1, 116-134 (2021). MSC: 14J45 14L30 14E30 PDFBibTeX XMLCite \textit{Z. Zhu}, Eur. J. Math. 7, No. 1, 116--134 (2021; Zbl 1473.14083) Full Text: DOI arXiv
Mukherjee, Ritwik; Singh, Rahul Kumar Rational cuspidal curves in a moving family of \(\mathbb{P}^2\). (English) Zbl 1460.14123 Complex Manifolds 8, 125-137 (2021). MSC: 14N35 14J45 14N10 14H10 PDFBibTeX XMLCite \textit{R. Mukherjee} and \textit{R. K. Singh}, Complex Manifolds 8, 125--137 (2021; Zbl 1460.14123) Full Text: DOI arXiv
Chen, Guodu; Han, Jingjun Boundedness of \((\epsilon, n)\)-complements for surfaces. (English) Zbl 1473.14029 Adv. Math. 383, Article ID 107703, 40 p. (2021). Reviewer: Lei Song (Guangzhou) MSC: 14E30 14J17 14J45 14C20 14J27 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Han}, Adv. Math. 383, Article ID 107703, 40 p. (2021; Zbl 1473.14029) Full Text: DOI arXiv
Batyrev, Victor; Schaller, Karin Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces. (English) Zbl 1460.14087 J. Geom. Phys. 164, Article ID 104198, 14 p. (2021). MSC: 14J33 14J32 14M25 81T30 14J30 14J45 PDFBibTeX XMLCite \textit{V. Batyrev} and \textit{K. Schaller}, J. Geom. Phys. 164, Article ID 104198, 14 p. (2021; Zbl 1460.14087) Full Text: DOI arXiv
Lehmann, Brian; Tanimoto, Sho Rational curves on prime Fano threefolds of index 1. (English) Zbl 1477.14071 J. Algebr. Geom. 30, No. 1, 151-188 (2021). Reviewer: Chen Jiang (Shanghai) MSC: 14J45 PDFBibTeX XMLCite \textit{B. Lehmann} and \textit{S. Tanimoto}, J. Algebr. Geom. 30, No. 1, 151--188 (2021; Zbl 1477.14071) Full Text: DOI arXiv
Birkar, Caucher Singularities of linear systems and boundedness of Fano varieties. (English) Zbl 1469.14085 Ann. Math. (2) 193, No. 2, 347-405 (2021). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J45 14E30 14C20 PDFBibTeX XMLCite \textit{C. Birkar}, Ann. Math. (2) 193, No. 2, 347--405 (2021; Zbl 1469.14085) Full Text: DOI arXiv
Codogni, Giulio; Patakfalvi, Zsolt Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties. (English) Zbl 1462.14044 Invent. Math. 223, No. 3, 811-894 (2021). Reviewer: Roberto Muñoz (Madrid) MSC: 14J45 14J10 14E30 PDFBibTeX XMLCite \textit{G. Codogni} and \textit{Z. Patakfalvi}, Invent. Math. 223, No. 3, 811--894 (2021; Zbl 1462.14044) Full Text: DOI arXiv
Bernardara, Marcello; Fatighenti, Enrico; Manivel, Laurent Nested varieties of \(K3\) type. (Variétés de type \(K3\) et leurs relations.) (English. French summary) Zbl 1474.14068 J. Éc. Polytech., Math. 8, 733-778 (2021). Reviewer: Pietro De Poi (Udine) MSC: 14J45 14J40 14C30 14M15 14F08 PDFBibTeX XMLCite \textit{M. Bernardara} et al., J. Éc. Polytech., Math. 8, 733--778 (2021; Zbl 1474.14068) Full Text: DOI arXiv
Cho, Yunhyung Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions. II. (English) Zbl 1485.53105 Int. J. Math. 32, No. 2, Article ID 2050120, 47 p. (2021). Reviewer: Manuel de León (Madrid) MSC: 53D20 14J45 PDFBibTeX XMLCite \textit{Y. Cho}, Int. J. Math. 32, No. 2, Article ID 2050120, 47 p. (2021; Zbl 1485.53105) Full Text: DOI arXiv
Cho, Yunhyung Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions. III. (English) Zbl 1485.53104 Int. J. Math. 32, No. 2, Article ID 2050106, 58 p. (2021). Reviewer: Ilya Karzhemanov (Moskva) MSC: 53D20 14J45 PDFBibTeX XMLCite \textit{Y. Cho}, Int. J. Math. 32, No. 2, Article ID 2050106, 58 p. (2021; Zbl 1485.53104) Full Text: DOI arXiv
Cheltsov, Ivan; Park, Jihun; Shramov, Constantin Delta invariants of singular del Pezzo surfaces. (English) Zbl 1462.14039 J. Geom. Anal. 31, No. 3, 2354-2382 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 14J17 14J45 32Q20 PDFBibTeX XMLCite \textit{I. Cheltsov} et al., J. Geom. Anal. 31, No. 3, 2354--2382 (2021; Zbl 1462.14039) Full Text: DOI arXiv
Mabuchi, Toshiki Test configurations, stabilities and canonical Kähler metrics. Complex geometry by the energy method. (English) Zbl 1478.32051 SpringerBriefs in Mathematics. Singapore: Springer (ISBN 978-981-16-0499-7/pbk; 978-981-16-0500-0/ebook). x, 128 p. (2021). MSC: 32J27 14J45 32Q20 PDFBibTeX XMLCite \textit{T. Mabuchi}, Test configurations, stabilities and canonical Kähler metrics. Complex geometry by the energy method. Singapore: Springer (2021; Zbl 1478.32051) Full Text: DOI
Schreieder, Stefan Torsion orders of Fano hypersurfaces. (English) Zbl 1467.14106 Algebra Number Theory 15, No. 1, 241-270 (2021). MSC: 14J70 14C25 14E08 14J45 14M20 PDFBibTeX XMLCite \textit{S. Schreieder}, Algebra Number Theory 15, No. 1, 241--270 (2021; Zbl 1467.14106) Full Text: DOI arXiv
Lee, Kyoung-Seog; Park, Kyeong-Dong Moduli spaces of Ulrich bundles on the Fano 3-fold \(V_5\). (English) Zbl 1466.14053 J. Algebra 574, 262-277 (2021). Reviewer: Nicolae Manolache (Bucureşti) MSC: 14J60 14F08 14J45 PDFBibTeX XMLCite \textit{K.-S. Lee} and \textit{K.-D. Park}, J. Algebra 574, 262--277 (2021; Zbl 1466.14053) Full Text: DOI arXiv
Watanabe, Kiwamu Fano manifolds of coindex three admitting nef tangent bundle. (English) Zbl 1457.14091 Geom. Dedicata 210, 165-178 (2021). Reviewer: Roberto Muñoz (Madrid) MSC: 14J40 14J45 14M17 PDFBibTeX XMLCite \textit{K. Watanabe}, Geom. Dedicata 210, 165--178 (2021; Zbl 1457.14091) Full Text: DOI arXiv
Fisher, Tom; Ho, Wei; Park, Jennifer Everywhere local solubility for hypersurfaces in products of projective spaces. (English) Zbl 1468.11150 Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021). MSC: 11G35 14J45 11E12 11G25 14G05 PDFBibTeX XMLCite \textit{T. Fisher} et al., Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021; Zbl 1468.11150) Full Text: DOI arXiv
Zdanowicz, Maciej Emilian [Achinger, Piotr] Arithmetically rigid schemes via deformation theory of equivariant vector bundles. (English) Zbl 1457.14056 Math. Z. 297, No. 1-2, 361-387 (2021). MSC: 14G17 14M17 14M25 14J45 11E57 11E08 11E95 11F85 14G20 PDFBibTeX XMLCite \textit{M. E. Zdanowicz}, Math. Z. 297, No. 1--2, 361--387 (2021; Zbl 1457.14056) Full Text: DOI arXiv
Prince, Thomas From cracked polytopes to Fano threefolds. (English) Zbl 1456.14049 Manuscr. Math. 164, No. 1-2, 267-320 (2021). Reviewer: Carla Novelli (Padova) MSC: 14J45 14J30 14Txx PDFBibTeX XMLCite \textit{T. Prince}, Manuscr. Math. 164, No. 1--2, 267--320 (2021; Zbl 1456.14049) Full Text: DOI arXiv
Ran, Ziv Low-degree rational curves on hypersurfaces in projective spaces and their fan degenerations. (English) Zbl 1470.14112 J. Pure Appl. Algebra 225, No. 2, Article ID 106492, 19 p. (2021). Reviewer: Fabrizio Anella (Roma) MSC: 14N25 14J45 14M22 PDFBibTeX XMLCite \textit{Z. Ran}, J. Pure Appl. Algebra 225, No. 2, Article ID 106492, 19 p. (2021; Zbl 1470.14112) Full Text: DOI arXiv
Carvajal-Rojas, Javier; Patakfalvi, Zsolt Varieties with ample Frobenius-trace kernel. arXiv:2110.15035 Preprint, arXiv:2110.15035 [math.AG] (2021). MSC: 14G17 14J45 14E30 14J30 14J26 BibTeX Cite \textit{J. Carvajal-Rojas} and \textit{Z. Patakfalvi}, ``Varieties with ample Frobenius-trace kernel'', Preprint, arXiv:2110.15035 [math.AG] (2021) Full Text: arXiv OA License
Codogni, Giulio; Patakfalvi, Zsolt A note on families of K-semistable log-Fano pairs. arXiv:2107.07902 Preprint, arXiv:2107.07902 [math.AG] (2021). MSC: 14J45 14J10 14D20 14D06 BibTeX Cite \textit{G. Codogni} and \textit{Z. Patakfalvi}, ``A note on families of K-semistable log-Fano pairs'', Preprint, arXiv:2107.07902 [math.AG] (2021) Full Text: arXiv OA License
Secci, Saverio Andrea Fano 4-folds having a prime divisor of Picard number 1. arXiv:2103.16140 Preprint, arXiv:2103.16140 [math.AG] (2021). MSC: 14J45 14J35 14E30 BibTeX Cite \textit{S. A. Secci}, ``Fano 4-folds having a prime divisor of Picard number 1'', Preprint, arXiv:2103.16140 [math.AG] (2021) Full Text: DOI arXiv OA License
Coates, Tom; Kasprzyk, Alexander M. Databases of quantum periods for Fano manifolds. arXiv:2112.00632 Preprint, arXiv:2112.00632 [math.AG] (2021). MSC: 14-11 14J45 14J33 14N35 BibTeX Cite \textit{T. Coates} and \textit{A. M. Kasprzyk}, ``Databases of quantum periods for Fano manifolds'', Preprint, arXiv:2112.00632 [math.AG] (2021) Full Text: DOI arXiv OA License
Yang, Lei Modularity and uniformization of a higher genus algebraic space curve, its distinct arithmetical realizations by cohomology groups and \(E_6\), \(E_7\), \(E_8\)-singularities. arXiv:2109.11179 Preprint, arXiv:2109.11179 [math.NT] (2021). MSC: 11G18 11G30 11F27 13A50 20G40 14L30 14H20 14H30 14H50 14J45 BibTeX Cite \textit{L. Yang}, ``Modularity and uniformization of a higher genus algebraic space curve, its distinct arithmetical realizations by cohomology groups and $E_6$, $E_7$, $E_8$-singularities'', Preprint, arXiv:2109.11179 [math.NT] (2021) Full Text: arXiv OA License
Nagaoka, Masaru Non-log liftable log del Pezzo surfaces of rank one in characteristic five. arXiv:2109.10558 Preprint, arXiv:2109.10558 [math.AG] (2021). MSC: 14J26 14D15 14G17 14J45 BibTeX Cite \textit{M. Nagaoka}, ``Non-log liftable log del Pezzo surfaces of rank one in characteristic five'', Preprint, arXiv:2109.10558 [math.AG] (2021) Full Text: arXiv OA License
Boucksom, Sébastien; Jonsson, Mattias A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations. arXiv:2107.11221 Preprint, arXiv:2107.11221 [math.AG] (2021). MSC: 32Q26 32P05 32U05 14J45 14G22 BibTeX Cite \textit{S. Boucksom} and \textit{M. Jonsson}, ``A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations'', Preprint, arXiv:2107.11221 [math.AG] (2021) Full Text: arXiv OA License
Fukuoka, Takeru; Hara, Wahei; Ishikawa, Daizo Rank two weak Fano bundles on del Pezzo threefolds of Picard rank one. arXiv:2105.10768 Preprint, arXiv:2105.10768 [math.AG] (2021). MSC: 14J30 14J45 14J60 BibTeX Cite \textit{T. Fukuoka} et al., ``Rank two weak Fano bundles on del Pezzo threefolds of Picard rank one'', Preprint, arXiv:2105.10768 [math.AG] (2021) Full Text: arXiv OA License
Fujino, Osamu Cone theorem and Mori hyperbolicity. arXiv:2102.11986 Preprint, arXiv:2102.11986 [math.AG] (2021). MSC: 14E30 32Q45 14J45 BibTeX Cite \textit{O. Fujino}, ``Cone theorem and Mori hyperbolicity'', Preprint, arXiv:2102.11986 [math.AG] (2021) Full Text: arXiv OA License
Zhou, Chuyu Log K-stability of GIT-stable divisors on Fano varieties. arXiv:2102.07458 Preprint, arXiv:2102.07458 [math.AG] (2021). MSC: 14J10 14J45 BibTeX Cite \textit{C. Zhou}, ``Log K-stability of GIT-stable divisors on Fano varieties'', Preprint, arXiv:2102.07458 [math.AG] (2021) Full Text: arXiv OA License
Liu, Jie; Ou, Wenhao; Wang, Juanyong; Yang, Xiaokui; Zhong, Guolei Algebraic fibre spaces with strictly nef relative anti-log canonical divisor. arXiv:2111.05234 Preprint, arXiv:2111.05234 [math.AG] (2021). MSC: 14E30 14H30 14J45 32Q57 53C22 BibTeX Cite \textit{J. Liu} et al., ``Algebraic fibre spaces with strictly nef relative anti-log canonical divisor'', Preprint, arXiv:2111.05234 [math.AG] (2021) Full Text: arXiv OA License
Ran, Ziv Interpolation of rational scrolls. arXiv:2111.02466 Preprint, arXiv:2111.02466 [math.AG] (2021). MSC: 14N25 14J45 14M22 BibTeX Cite \textit{Z. Ran}, ``Interpolation of rational scrolls'', Preprint, arXiv:2111.02466 [math.AG] (2021) Full Text: arXiv OA License
Zarhin, Yuri G. Jacobians with with automorphisms of prime order. arXiv:2109.06794 Preprint, arXiv:2109.06794 [math.AG] (2021). MSC: 14J45 14K30 BibTeX Cite \textit{Y. G. Zarhin}, ``Jacobians with with automorphisms of prime order'', Preprint, arXiv:2109.06794 [math.AG] (2021) Full Text: arXiv OA License
Coates, Tom; Kasprzyk, Alexander M.; Pitton, Giuseppe; Tveiten, Ketil Maximally Mutable Laurent Polynomials. arXiv:2107.14253 Preprint, arXiv:2107.14253 [math.AG] (2021). MSC: 14J33 52B20 14J45 14N35 13F60 32G20 BibTeX Cite \textit{T. Coates} et al., ``Maximally Mutable Laurent Polynomials'', Preprint, arXiv:2107.14253 [math.AG] (2021) Full Text: DOI arXiv OA License
Fujita, Kento On Fano threefolds of degree 22 after Cheltsov and Shramov. arXiv:2107.04816 Preprint, arXiv:2107.04816 [math.AG] (2021). MSC: 14J45 14L24 BibTeX Cite \textit{K. Fujita}, ``On Fano threefolds of degree 22 after Cheltsov and Shramov'', Preprint, arXiv:2107.04816 [math.AG] (2021) Full Text: arXiv OA License
Cheltsov, Ivan; Süß, Hendrik K-polystability of two smooth Fano threefolds. arXiv:2107.04797 Preprint, arXiv:2107.04797 [math.AG] (2021). MSC: 14J45 32Q20 BibTeX Cite \textit{I. Cheltsov} and \textit{H. Süß}, ``K-polystability of two smooth Fano threefolds'', Preprint, arXiv:2107.04797 [math.AG] (2021) Full Text: arXiv OA License
Benedetti, Vladimiro; Song, Jieao Divisors in the moduli space of Debarre-Voisin varieties. arXiv:2106.06859 Preprint, arXiv:2106.06859 [math.AG] (2021). MSC: 14C30 14J28 14J42 14J45 BibTeX Cite \textit{V. Benedetti} and \textit{J. Song}, ``Divisors in the moduli space of Debarre-Voisin varieties'', Preprint, arXiv:2106.06859 [math.AG] (2021) Full Text: arXiv OA License