Spodzieja, Stanisław A geometric model of an arbitrary differentially closed field of characteristic zero. (English) Zbl 07288868 Trans. Am. Math. Soc. 374, No. 1, 663-686 (2021). MSC: 12H05 13N15 14P20 14P10 PDF BibTeX XML Cite \textit{S. Spodzieja}, Trans. Am. Math. Soc. 374, No. 1, 663--686 (2021; Zbl 07288868) Full Text: DOI
Domitrz, Wojciech; Mormul, Piotr; Pragacz, Piotr Order of tangency between manifolds. (English) Zbl 1451.14014 Hu, Jianxun (ed.) et al., Schubert calculus and its applications in combinatorics and representation theory. Selected papers presented at the “International Festival in Schubert Calculus”, Guangzhou, China, November 6–10, 2017. Singapore: Springer. Springer Proc. Math. Stat. 332, 27-42 (2020). MSC: 14C17 14M15 14N10 14N15 14P10 14P20 32B20 32C07 PDF BibTeX XML Cite \textit{W. Domitrz} et al., Springer Proc. Math. Stat. 332, 27--42 (2020; Zbl 1451.14014) Full Text: DOI
Fichou, Goulwen; Monnier, Jean-Philippe; Quarez, Ronan Substitution property for the ring of continuous rational functions. (English) Zbl 1441.14190 Ishikawa, Masaharu (ed.) et al., Singularities – Kagoshima 2017. Proceedings of the 5th Franco-Japanese-Vietnamese symposium on singularities, Kagoshima, Japan, October 27 – November 3, 2017. Hackensack, NJ: World Scientific. 71-93 (2020). MSC: 14P05 14P20 11E25 26C15 PDF BibTeX XML Cite \textit{G. Fichou} et al., in: Singularities -- Kagoshima 2017. Proceedings of the 5th Franco-Japanese-Vietnamese symposium on singularities, Kagoshima, Japan, October 27 -- November 3, 2017. Hackensack, NJ: World Scientific. 71--93 (2020; Zbl 1441.14190) Full Text: DOI
El-Siblani, Ali; Kurdyka, Krzysztof On the regularity of a semialgebraic function. (English) Zbl 1448.14057 Ann. Pol. Math. 125, No. 1, 25-46 (2020). MSC: 14P10 14P20 32B20 58A07 PDF BibTeX XML Cite \textit{A. El-Siblani} and \textit{K. Kurdyka}, Ann. Pol. Math. 125, No. 1, 25--46 (2020; Zbl 1448.14057) Full Text: DOI
Priziac, Fabien Quotients and invariants of \(\mathcal{AS}\)-sets equipped with a finite group action. (English) Zbl 1454.14135 Math. Ann. 377, No. 3-4, 1015-1055 (2020). MSC: 14P05 14P10 14P20 14L24 57S17 PDF BibTeX XML Cite \textit{F. Priziac}, Math. Ann. 377, No. 3--4, 1015--1055 (2020; Zbl 1454.14135) Full Text: DOI
Priziac, Fabien On the equivariant blow-Nash classification of simple invariant Nash germs. (English) Zbl 07226624 Bull. Soc. Math. Fr. 148, No. 2, 329-382 (2020). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B05 14P20 14P25 32S15 57S17 57S25 PDF BibTeX XML Cite \textit{F. Priziac}, Bull. Soc. Math. Fr. 148, No. 2, 329--382 (2020; Zbl 07226624) Full Text: DOI
Eleftheriou, Pantelis E.; Savatovsky, Alex Expansions of real closed fields that introduce no new smooth functions. (English) Zbl 1454.14139 Ann. Pure Appl. Logic 171, No. 7, Article ID 102808, 14 p. (2020). Reviewer: Fujita Masato (Kure) MSC: 14P20 03C64 PDF BibTeX XML Cite \textit{P. E. Eleftheriou} and \textit{A. Savatovsky}, Ann. Pure Appl. Logic 171, No. 7, Article ID 102808, 14 p. (2020; Zbl 1454.14139) Full Text: DOI
Basu, Saugata; Riener, Cordian On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities. (English) Zbl 1453.14143 Int. Math. Res. Not. 2020, No. 7, 2054-2113 (2020). MSC: 14P20 PDF BibTeX XML Cite \textit{S. Basu} and \textit{C. Riener}, Int. Math. Res. Not. 2020, No. 7, 2054--2113 (2020; Zbl 1453.14143) Full Text: DOI
Chang, Huai-Liang; Li, Mu-Lin Invariants of stable quasimaps with fields. (English) Zbl 1453.14144 Trans. Am. Math. Soc. 373, No. 5, 3669-3691 (2020). MSC: 14P20 14N35 PDF BibTeX XML Cite \textit{H.-L. Chang} and \textit{M.-L. Li}, Trans. Am. Math. Soc. 373, No. 5, 3669--3691 (2020; Zbl 1453.14144) Full Text: DOI
Parusiński, Adam; Rond, Guillaume Multiparameter perturbation theory of matrices and linear operators. (English) Zbl 1440.15009 Trans. Am. Math. Soc. 373, No. 4, 2933-2948 (2020). Reviewer: Yaogan Mensah (Lomé) MSC: 15A23 15A18 15A20 15A21 13F25 14P20 47A55 PDF BibTeX XML Cite \textit{A. Parusiński} and \textit{G. Rond}, Trans. Am. Math. Soc. 373, No. 4, 2933--2948 (2020; Zbl 1440.15009) Full Text: DOI
Kurdyka, Krzysztof; Spodzieja, Stanisław; Szlachcińska, Anna Correction to: Metric properties of semialgebraic mappings. (English) Zbl 1453.14142 Discrete Comput. Geom. 62, No. 4, 990-991 (2019). MSC: 14P10 32C07 14P20 PDF BibTeX XML Cite \textit{K. Kurdyka} et al., Discrete Comput. Geom. 62, No. 4, 990--991 (2019; Zbl 1453.14142) Full Text: DOI
Prelli, Luca De Rham theorem for Whitney functions. (English) Zbl 1428.58002 Math. Z. 293, No. 3-4, 1623-1632 (2019). Reviewer: Savin Treanta (Bucharest) MSC: 58A07 14P20 58A12 PDF BibTeX XML Cite \textit{L. Prelli}, Math. Z. 293, No. 3--4, 1623--1632 (2019; Zbl 1428.58002) Full Text: DOI arXiv
Ishikawa, Goo; Yamashita, Tatsuya Leibniz complexity of Nash functions on differentiations. (English) Zbl 1441.14198 J. Math. Soc. Japan 71, No. 3, 709-726 (2019). MSC: 14P20 58A07 32C07 PDF BibTeX XML Cite \textit{G. Ishikawa} and \textit{T. Yamashita}, J. Math. Soc. Japan 71, No. 3, 709--726 (2019; Zbl 1441.14198) Full Text: DOI Euclid
Fernando, José F.; Ghiloni, Riccardo Differentiable approximation of continuous semialgebraic maps. (English) Zbl 07085985 Sel. Math., New Ser. 25, No. 3, Paper No. 46, 30 p. (2019). MSC: 14P10 57Q55 14P05 14P20 PDF BibTeX XML Cite \textit{J. F. Fernando} and \textit{R. Ghiloni}, Sel. Math., New Ser. 25, No. 3, Paper No. 46, 30 p. (2019; Zbl 07085985) Full Text: DOI
Baro, Elías; de Vicente, Juan; Otero, Margarita Locally \(\mathbb{C}\)-Nash groups. (English) Zbl 1440.14263 Rev. Mat. Complut. 32, No. 2, 531-558 (2019). MSC: 14P10 14P20 03C64 PDF BibTeX XML Cite \textit{E. Baro} et al., Rev. Mat. Complut. 32, No. 2, 531--558 (2019; Zbl 1440.14263) Full Text: DOI
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna Semialgebraic version of Whitney’s extension theorem. (English) Zbl 1419.58008 Arch. Math. 113, No. 1, 59-62 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 58C25 14P20 57R35 03C64 58A07 PDF BibTeX XML Cite \textit{B. Kocel-Cynk} et al., Arch. Math. 113, No. 1, 59--62 (2019; Zbl 1419.58008) Full Text: DOI
Campesato, Jean-Baptiste; Fukui, Toshizumi; Kurdyka, Krzysztof; Parusiński, Adam Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets. (English) Zbl 1436.14094 Math. Ann. 374, No. 1-2, 211-251 (2019). Reviewer: Immanuel Halupczok (Leeds) MSC: 14P20 26A16 14E18 14B05 PDF BibTeX XML Cite \textit{J.-B. Campesato} et al., Math. Ann. 374, No. 1--2, 211--251 (2019; Zbl 1436.14094) Full Text: DOI
Baro, E.; de Vicente, J.; Otero, M. An extension result for maps admitting an algebraic addition theorem. (English) Zbl 07024068 J. Geom. Anal. 29, No. 1, 316-327 (2019). MSC: 32A20 33E05 14P20 PDF BibTeX XML Cite \textit{E. Baro} et al., J. Geom. Anal. 29, No. 1, 316--327 (2019; Zbl 07024068) Full Text: DOI
Czarnecki, Aleksander Maximal ideals of regulous functions are not finitely generated. (English) Zbl 1402.14075 J. Pure Appl. Algebra 223, No. 3, 1161-1166 (2019). Reviewer: Jie Wang (Beijing) MSC: 14P10 26C15 14P20 PDF BibTeX XML Cite \textit{A. Czarnecki}, J. Pure Appl. Algebra 223, No. 3, 1161--1166 (2019; Zbl 1402.14075) Full Text: DOI
Elazar, Boaz; Shaviv, Ary Schwartz functions on real algebraic varieties. (English) Zbl 1445.14078 Can. J. Math. 70, No. 5, 1008-1037 (2018). Reviewer: Maria Infusino (Konstanz) MSC: 14P05 14P20 22E45 46A11 46F05 PDF BibTeX XML Cite \textit{B. Elazar} and \textit{A. Shaviv}, Can. J. Math. 70, No. 5, 1008--1037 (2018; Zbl 1445.14078) Full Text: DOI arXiv
Sakellaridis, Yiannis Correction to: “The Schwartz space of a smooth semi-algebraic stack”. (English) Zbl 1439.14013 Sel. Math., New Ser. 24, No. 5, 4961-4965 (2018). MSC: 14A20 58H05 22A22 11F70 14D24 14P20 PDF BibTeX XML Cite \textit{Y. Sakellaridis}, Sel. Math., New Ser. 24, No. 5, 4961--4965 (2018; Zbl 1439.14013) Full Text: DOI
Campesato, Jean-Baptiste Complete classification of Brieskorn polynomials up to the arc-analytic equivalence. (English) Zbl 1423.14108 Math. Z. 290, No. 3-4, 1145-1163 (2018). MSC: 14E18 14B05 14P20 14P25 32S15 PDF BibTeX XML Cite \textit{J.-B. Campesato}, Math. Z. 290, No. 3--4, 1145--1163 (2018; Zbl 1423.14108) Full Text: DOI
Valette, Anna Nash triviality and generalized critical values. (English) Zbl 1422.58008 Ann. Pol. Math. 121, No. 1, 85-90 (2018). Reviewer: Mohammad Sajid (Buraidah) MSC: 58K05 58K25 14P20 58A07 PDF BibTeX XML Cite \textit{A. Valette}, Ann. Pol. Math. 121, No. 1, 85--90 (2018; Zbl 1422.58008) Full Text: DOI
Adamus, Janusz; Seyedinejad, Hadi On solutions of linear equations with polynomial coefficients. (English) Zbl 1423.14330 Ann. Pol. Math. 121, No. 1, 1-6 (2018). MSC: 14P10 14P20 PDF BibTeX XML Cite \textit{J. Adamus} and \textit{H. Seyedinejad}, Ann. Pol. Math. 121, No. 1, 1--6 (2018; Zbl 1423.14330) Full Text: DOI
Fernando, José F. On Nash images of Euclidean spaces. (English) Zbl 1397.14074 Adv. Math. 331, 627-719 (2018). Reviewer: Zofia Denkowska (Angers) MSC: 14P20 58A07 14P10 14E15 PDF BibTeX XML Cite \textit{J. F. Fernando}, Adv. Math. 331, 627--719 (2018; Zbl 1397.14074) Full Text: DOI
Adamus, Janusz; Seyedinejad, Hadi Extensions of arc-analytic functions. (English) Zbl 1430.14106 Math. Ann. 371, No. 1-2, 685-693 (2018). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P10 14P20 14P99 PDF BibTeX XML Cite \textit{J. Adamus} and \textit{H. Seyedinejad}, Math. Ann. 371, No. 1--2, 685--693 (2018; Zbl 1430.14106) Full Text: DOI
Spodzieja, Stanisław; Szlachcińska, Anna Łojasiewicz exponent of overdetermined semialgebraic mappings. (English) Zbl 1386.14200 Krasiński, Tadeusz (ed.) et al., Analytic and algebraic geometry. 2. Dedicated to the memory of Arkadiusz Płoski, Kamil Rusek and Krzysztof Kurdyka on the occasion of their 70th and 60th birthdays. Łódź: Łódź University Press (ISBN 978-83-8088-922-4/hbk; 978-83-8088-923-1/ebook). 179-188 (2017). MSC: 14P20 14P10 32C07 PDF BibTeX XML Cite \textit{S. Spodzieja} and \textit{A. Szlachcińska}, in: Analytic and algebraic geometry. 2. Dedicated to the memory of Arkadiusz Płoski, Kamil Rusek and Krzysztof Kurdyka on the occasion of their 70th and 60th birthdays. Łódź: Łódź University Press. 179--188 (2017; Zbl 1386.14200) Full Text: DOI
Kurdyka, Krzysztof Analytic arcs and real analytic singularities. (English) Zbl 1403.14091 Bekka, K. (ed.) et al., Real algebraic geometry. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-857-2/pbk). Panoramas et Synthèses 51, 79-106 (2017). Reviewer: Tien-Son Pham (Dalat) MSC: 14P20 14-02 32B10 14J17 PDF BibTeX XML Cite \textit{K. Kurdyka}, Panor. Synth. 51, 79--106 (2017; Zbl 1403.14091)
Campesato, Jean-Baptiste On a motivic invariant of the arc-analytic equivalence. (Un invariant motivique pour l’équivalence arc-analytique.) (English. French summary) Zbl 1408.14186 Ann. Inst. Fourier 67, No. 1, 143-196 (2017). Reviewer: Wim Veys (Leuven) MSC: 14P20 14E18 14B05 PDF BibTeX XML Cite \textit{J.-B. Campesato}, Ann. Inst. Fourier 67, No. 1, 143--196 (2017; Zbl 1408.14186) Full Text: DOI
Kucharz, Wojciech Nash regulous functions. (English) Zbl 1375.14195 Ann. Pol. Math. 119, No. 3, 275-289 (2017). MSC: 14P20 14P10 PDF BibTeX XML Cite \textit{W. Kucharz}, Ann. Pol. Math. 119, No. 3, 275--289 (2017; Zbl 1375.14195) Full Text: DOI arXiv
Adamus, Janusz; Seyedinejad, Hadi A proof of Kurdyka’s conjecture on arc-analytic functions. (English) Zbl 1371.14062 Math. Ann. 369, No. 1-2, 387-395 (2017). MSC: 14P10 14P20 PDF BibTeX XML Cite \textit{J. Adamus} and \textit{H. Seyedinejad}, Math. Ann. 369, No. 1--2, 387--395 (2017; Zbl 1371.14062) Full Text: DOI
Campesato, Jean-Baptiste From the blow-analytic equivalence to the arc-analytic equivalence: a survey. (English) Zbl 1378.14060 Saitama Math. J. 31, 35-78 (2017). MSC: 14P20 14E18 32C07 14-02 PDF BibTeX XML Cite \textit{J.-B. Campesato}, Saitama Math. J. 31, 35--78 (2017; Zbl 1378.14060)
Kollár, János Nash’s work in algebraic geometry. (English) Zbl 1359.14002 Bull. Am. Math. Soc., New Ser. 54, No. 2, 307-324 (2017). Reviewer: Zofia Denkowska (Angers) MSC: 14-03 01-02 14P20 14B05 PDF BibTeX XML Cite \textit{J. Kollár}, Bull. Am. Math. Soc., New Ser. 54, No. 2, 307--324 (2017; Zbl 1359.14002) Full Text: DOI
Ghiloni, Riccardo; Tancredi, Alessandro Algebraicity of Nash sets and of their asymmetric cobordism. (English) Zbl 1367.14020 J. Eur. Math. Soc. (JEMS) 19, No. 2, 507-529 (2017). Reviewer: Zofia Denkowska (Angers) MSC: 14P20 14P25 14P15 PDF BibTeX XML Cite \textit{R. Ghiloni} and \textit{A. Tancredi}, J. Eur. Math. Soc. (JEMS) 19, No. 2, 507--529 (2017; Zbl 1367.14020) Full Text: DOI arXiv
Bilski, Marcin; Parusiński, Adam; Rond, Guillaume Local topological algebraicity of analytic function germs. (English) Zbl 1365.32005 J. Algebr. Geom. 26, No. 1, 177-197 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S15 14B05 14P20 32C07 14B12 32S45 PDF BibTeX XML Cite \textit{M. Bilski} et al., J. Algebr. Geom. 26, No. 1, 177--197 (2017; Zbl 1365.32005) Full Text: DOI arXiv
Fichou, Goulwen; Fukui, Toshizumi Motivic invariants of real polynomial functions and their Newton polyhedrons. (English) Zbl 1371.14064 Math. Proc. Camb. Philos. Soc. 160, No. 1, 141-166 (2016). MSC: 14P20 32C07 58K40 14B05 14P25 PDF BibTeX XML Cite \textit{G. Fichou} and \textit{T. Fukui}, Math. Proc. Camb. Philos. Soc. 160, No. 1, 141--166 (2016; Zbl 1371.14064) Full Text: DOI
Kurdyka, Krzysztof; Osińska-Ulrych, Beata; Skalski, Grzegorz; Spodzieja, Stanisław Effective Łojasiewicz gradient inequality for generic Nash functions with isolated singularity. (English) Zbl 1380.32010 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 66, No. 3, 47-64 (2016). Reviewer: Zofia Denkowska (Angers) MSC: 32B20 32C07 14P20 PDF BibTeX XML Cite \textit{K. Kurdyka} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 66, No. 3, 47--64 (2016; Zbl 1380.32010)
Kaiser, Tobias \(R\)-analytic functions. (English) Zbl 1436.03210 Arch. Math. Logic 55, No. 5-6, 605-623 (2016). MSC: 03C64 14P20 26E05 32B05 32B20 PDF BibTeX XML Cite \textit{T. Kaiser}, Arch. Math. Logic 55, No. 5--6, 605--623 (2016; Zbl 1436.03210) Full Text: DOI arXiv
Sakellaridis, Yiannis The Schwartz space of a smooth semi-algebraic stack. (English) Zbl 1369.14005 Sel. Math., New Ser. 22, No. 4, 2401-2490 (2016); correction ibid. 24, No. 5, 4961-4965 (2018). Reviewer: Wen-Wei Li (Beijing) MSC: 14A20 58H05 22A22 11F70 14D24 14P20 PDF BibTeX XML Cite \textit{Y. Sakellaridis}, Sel. Math., New Ser. 22, No. 4, 2401--2490 (2016; Zbl 1369.14005) Full Text: DOI
Can, Mahir Bilen Toroidal affine Nash groups. (English) Zbl 1354.22011 J. Lie Theory 26, No. 4, 1069-1077 (2016). MSC: 22E15 14L10 14P20 PDF BibTeX XML Cite \textit{M. B. Can}, J. Lie Theory 26, No. 4, 1069--1077 (2016; Zbl 1354.22011) Full Text: Link arXiv
Fichou, Goulwen; Quarez, Ronan; Shiota, Masahiro Artin approximation compatible with a change of variables. (English) Zbl 1354.14085 Can. Math. Bull. 59, No. 4, 760-768 (2016). Reviewer: Guillaume Rond (Marseille) MSC: 14P20 58A07 32C07 PDF BibTeX XML Cite \textit{G. Fichou} et al., Can. Math. Bull. 59, No. 4, 760--768 (2016; Zbl 1354.14085) Full Text: DOI
Migus, Piotr; Rodak, Tomasz; Spodzieja, Stanisław Finite determinacy of non-isolated singularities. (English) Zbl 1357.14069 Ann. Pol. Math. 117, No. 3, 197-206 (2016). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P20 14P10 32C07 58K40 14P99 PDF BibTeX XML Cite \textit{P. Migus} et al., Ann. Pol. Math. 117, No. 3, 197--206 (2016; Zbl 1357.14069) Full Text: DOI
Campesato, Jean-Baptiste An inverse mapping theorem for blow-Nash maps on singular spaces. (English) Zbl 1379.14030 Nagoya Math. J. 223, 162-194 (2016). MSC: 14P10 14B05 14E18 14P05 14P20 PDF BibTeX XML Cite \textit{J.-B. Campesato}, Nagoya Math. J. 223, 162--194 (2016; Zbl 1379.14030) Full Text: DOI arXiv
Priziac, Fabien Equivariant zeta functions for invariant Nash germs. (English) Zbl 1365.14006 Nagoya Math. J. 222, 100-136 (2016). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B05 14P20 14P25 32S15 57S17 57S25 PDF BibTeX XML Cite \textit{F. Priziac}, Nagoya Math. J. 222, 100--136 (2016; Zbl 1365.14006) Full Text: DOI arXiv
Fichou, Goulwen; Huisman, Johannes; Mangolte, Frédéric; Monnier, Jean-Philippe Regulous functions. (Fonctions régulues.) (French. English summary) Zbl 1390.14172 J. Reine Angew. Math. 718, 103-151 (2016). Reviewer: Aris Daniilidis (Santiago) MSC: 14P05 14P20 14E05 14F17 26C15 PDF BibTeX XML Cite \textit{G. Fichou} et al., J. Reine Angew. Math. 718, 103--151 (2016; Zbl 1390.14172) Full Text: DOI
Kurdyka, Krzysztof; Spodzieja, Stanisław; Szlachcińska, Anna Metric properties of semialgebraic mappings. (English) Zbl 1349.14182 Discrete Comput. Geom. 55, No. 4, 786-800 (2016); corrigendum ibid. 62, No. 4, 990-991 (2019). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P10 32C07 14P20 PDF BibTeX XML Cite \textit{K. Kurdyka} et al., Discrete Comput. Geom. 55, No. 4, 786--800 (2016; Zbl 1349.14182) Full Text: DOI arXiv
Fang, Yingjue; Sun, Binyong Chevalley’s theorem for affine Nash groups. (English) Zbl 1345.22005 J. Lie Theory 26, No. 2, 359-369 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E15 14L10 14P20 PDF BibTeX XML Cite \textit{Y. Fang} and \textit{B. Sun}, J. Lie Theory 26, No. 2, 359--369 (2016; Zbl 1345.22005) Full Text: Link
Baro, E.; Fernando, José F.; Ruiz, Jesús M. Corrigendum to “Approximation on Nash sets with monomial singularities” [Adv. Math. 262 (2014) 59-114]. (English) Zbl 1441.14197 Adv. Math. 294, 853-856 (2016). MSC: 14P20 58A07 32C05 PDF BibTeX XML Cite \textit{E. Baro} et al., Adv. Math. 294, 853--856 (2016; Zbl 1441.14197) Full Text: DOI
Mady, Demdah Kartoue Simultaneous resolution of singularities in the Nash category: finiteness and effectiveness. (English) Zbl 1382.14022 Rev. Mat. Complut. 29, No. 1, 207-224 (2016). MSC: 14P10 14P20 14E15 PDF BibTeX XML Cite \textit{D. K. Mady}, Rev. Mat. Complut. 29, No. 1, 207--224 (2016; Zbl 1382.14022) Full Text: DOI arXiv
Leyton-Alvarez, Maximiliano Families of \(m\)-jet spaces and arc spaces. (Familles d’espaces de \(m\)-jets et d’espaces d’arcs.) (French. English summary) Zbl 1325.14075 J. Pure Appl. Algebra 220, No. 1, 1-33 (2016). MSC: 14P20 14B07 PDF BibTeX XML Cite \textit{M. Leyton-Alvarez}, J. Pure Appl. Algebra 220, No. 1, 1--33 (2016; Zbl 1325.14075) Full Text: DOI arXiv
Adamus, Janusz CR-continuation of arc-analytic maps. (English) Zbl 1349.14185 Proc. Am. Math. Soc. 143, No. 10, 4189-4198 (2015). MSC: 14P20 32V10 14P10 32V20 32V40 PDF BibTeX XML Cite \textit{J. Adamus}, Proc. Am. Math. Soc. 143, No. 10, 4189--4198 (2015; Zbl 1349.14185) Full Text: DOI arXiv
Mir, Nordine Artin’s approximation theorems and Cauchy-Riemann geometry. (English) Zbl 1302.32017 Methods Appl. Anal. 21, No. 4, 481-502 (2014). MSC: 32H02 32V05 32V20 32V40 32C05 32C07 14P05 14P15 14P20 PDF BibTeX XML Cite \textit{N. Mir}, Methods Appl. Anal. 21, No. 4, 481--502 (2014; Zbl 1302.32017) Full Text: DOI
Ghiloni, Riccardo; Tancredi, Alessandro Algebraic models of symmetric Nash sets. (English) Zbl 1327.14237 Rev. Mat. Complut. 27, No. 2, 385-419 (2014). MSC: 14P05 14P20 14P25 PDF BibTeX XML Cite \textit{R. Ghiloni} and \textit{A. Tancredi}, Rev. Mat. Complut. 27, No. 2, 385--419 (2014; Zbl 1327.14237) Full Text: DOI
McCrory, Clint; Parusiński, Adam The weight filtration for real algebraic varieties. II: Classical homology. (English) Zbl 1307.14080 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 63-94 (2014). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P25 14P10 14P20 PDF BibTeX XML Cite \textit{C. McCrory} and \textit{A. Parusiński}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 63--94 (2014; Zbl 1307.14080) Full Text: DOI arXiv
Ghiloni, Riccardo; Tancredi, Alessandro On the algebraic models of symmetric smooth manifolds. (English) Zbl 1396.14051 Adv. Geom. 14, No. 3, 553-560 (2014). MSC: 14P20 14P05 14P25 PDF BibTeX XML Cite \textit{R. Ghiloni} and \textit{A. Tancredi}, Adv. Geom. 14, No. 3, 553--560 (2014; Zbl 1396.14051) Full Text: DOI
Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F. On Hilbert’s 17th problem and Pfister’s multiplicative formulae for the ring of real analytic functions. (English) Zbl 1303.11047 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 2, 333-369 (2014). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 26E05 32C07 12D15 14P20 PDF BibTeX XML Cite \textit{F. Acquistapace} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 2, 333--369 (2014; Zbl 1303.11047) Full Text: DOI
Baro, Elías; Fernando, José F.; Ruiz, Jesús M. Approximation on Nash sets with monomial singularities. (English) Zbl 1302.14047 Adv. Math. 262, 59-114 (2014). Reviewer: Stanisław Spodzieja (Łódź) MSC: 14P20 58A07 32C05 PDF BibTeX XML Cite \textit{E. Baro} et al., Adv. Math. 262, 59--114 (2014; Zbl 1302.14047) Full Text: DOI arXiv
Ballico, Edoardo; Ghiloni, Riccardo On the principle of real moduli flexibility: perfect parametrizations. (English) Zbl 1308.14061 Ann. Pol. Math. 111, No. 3, 245-258 (2014). MSC: 14P20 14P05 14P25 PDF BibTeX XML Cite \textit{E. Ballico} and \textit{R. Ghiloni}, Ann. Pol. Math. 111, No. 3, 245--258 (2014; Zbl 1308.14061) Full Text: DOI
Priziac, Fabien Weight complexe of real algebraic varieties with action. (Complexe de poids des variétés algébriques réelles avec action.) (French) Zbl 1326.14138 Math. Z. 277, No. 1-2, 63-80 (2014). MSC: 14P20 14P25 14P10 57S17 57S25 PDF BibTeX XML Cite \textit{F. Priziac}, Math. Z. 277, No. 1--2, 63--80 (2014; Zbl 1326.14138) Full Text: DOI arXiv
Fernando, José F.; Gamboa, J. M.; Ruiz, Jesús M. Finiteness problems on Nash manifolds and Nash sets. (English) Zbl 1302.14048 J. Eur. Math. Soc. (JEMS) 16, No. 3, 537-570 (2014). Reviewer: Stanisław Spodzieja (Łódź) MSC: 14P20 58A07 32C05 PDF BibTeX XML Cite \textit{J. F. Fernando} et al., J. Eur. Math. Soc. (JEMS) 16, No. 3, 537--570 (2014; Zbl 1302.14048) Full Text: DOI
Sfouli, Hassan On a problem concerning quasianalytic local rings. (English) Zbl 1298.26090 Ann. Pol. Math. 111, No. 1, 13-20 (2014). MSC: 26E10 14P20 PDF BibTeX XML Cite \textit{H. Sfouli}, Ann. Pol. Math. 111, No. 1, 13--20 (2014; Zbl 1298.26090) Full Text: DOI
Khan, Faisal Shah; Phoenix, Simon J. D. Mini-maximizing two qubit quantum computations. (English) Zbl 1303.81049 Quantum Inf. Process. 12, No. 12, 3807-3819 (2013). MSC: 81P68 14P20 91A80 PDF BibTeX XML Cite \textit{F. S. Khan} and \textit{S. J. D. Phoenix}, Quantum Inf. Process. 12, No. 12, 3807--3819 (2013; Zbl 1303.81049) Full Text: DOI
Michalska, Maria Curves testing boundedness of polynomials on subsets of the real plane. (English) Zbl 1304.14072 J. Symb. Comput. 56, 107-124 (2013). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14P10 14P20 68W30 PDF BibTeX XML Cite \textit{M. Michalska}, J. Symb. Comput. 56, 107--124 (2013; Zbl 1304.14072) Full Text: DOI
Němcová, Jana; Petreczky, Mihály; Van Schuppen, Jan H. Realization theory of Nash systems. (English) Zbl 1279.93032 SIAM J. Control Optim. 51, No. 5, 3386-3414 (2013). MSC: 93B15 93B03 93B07 93C10 93B25 14P20 PDF BibTeX XML Cite \textit{J. Němcová} et al., SIAM J. Control Optim. 51, No. 5, 3386--3414 (2013; Zbl 1279.93032) Full Text: DOI
Kaiser, Tobias Integration of semialgebraic functions and integrated Nash functions. (English) Zbl 1314.03038 Math. Z. 275, No. 1-2, 349-366 (2013). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C64 14P10 14P20 26B15 32B05 PDF BibTeX XML Cite \textit{T. Kaiser}, Math. Z. 275, No. 1--2, 349--366 (2013; Zbl 1314.03038) Full Text: DOI
Prelli, Luca De Rham theorem for Schwartz functions on Nash manifolds. (English) Zbl 1283.58002 Isr. J. Math. 197, 131-137 (2013). Reviewer: Hisashi Kasuya (Tokyo) MSC: 58A07 58A12 14P20 PDF BibTeX XML Cite \textit{L. Prelli}, Isr. J. Math. 197, 131--137 (2013; Zbl 1283.58002) Full Text: DOI arXiv
Spodzieja, Stanisław A geometric model of an arbitrary real closed field. (English) Zbl 1318.14053 Pac. J. Math. 264, No. 2, 455-469 (2013). Reviewer: Niels Schwartz (Passau) MSC: 14P10 12J15 14P20 13J30 PDF BibTeX XML Cite \textit{S. Spodzieja}, Pac. J. Math. 264, No. 2, 455--469 (2013; Zbl 1318.14053) Full Text: DOI
Ballico, Edoardo; Ghiloni, Riccardo The principle of moduli flexibility for real algebraic manifolds. (English) Zbl 1292.14038 Ann. Pol. Math. 109, No. 1, 1-28 (2013). MSC: 14P20 14P05 14P25 PDF BibTeX XML Cite \textit{E. Ballico} and \textit{R. Ghiloni}, Ann. Pol. Math. 109, No. 1, 1--28 (2013; Zbl 1292.14038) Full Text: DOI
Fichou, Goulwen; Shiota, Masahiro Virtual Poincaré polynomial of the link of a real algebraic variety. (English) Zbl 1316.14108 Math. Z. 273, No. 3-4, 1053-1061 (2013). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P05 14P20 PDF BibTeX XML Cite \textit{G. Fichou} and \textit{M. Shiota}, Math. Z. 273, No. 3--4, 1053--1061 (2013; Zbl 1316.14108) Full Text: DOI
Kawakami, Tomohiro Structure theorems in \(o\)-minimal structures. (English) Zbl 1251.14044 Far East J. Math. Sci. (FJMS) 63, No. 2, 141-155 (2012). MSC: 14P10 14P20 57S15 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 63, No. 2, 141--155 (2012; Zbl 1251.14044) Full Text: Link
Guaraldo, Francesco On representations of real Nash groups. (English) Zbl 1256.14061 J. Math. Soc. Japan 64, No. 3, 927-939 (2012). Reviewer: Karl Heinz Dovermann (Honolulu) MSC: 14P20 22E45 57S15 PDF BibTeX XML Cite \textit{F. Guaraldo}, J. Math. Soc. Japan 64, No. 3, 927--939 (2012; Zbl 1256.14061) Full Text: DOI Euclid
Rodak, Tomasz; Spodzieja, Stanisław Equivalence of mappings at infinity. (English) Zbl 1253.14056 Bull. Sci. Math. 136, No. 6, 679-686 (2012). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P20 32C07 PDF BibTeX XML Cite \textit{T. Rodak} and \textit{S. Spodzieja}, Bull. Sci. Math. 136, No. 6, 679--686 (2012; Zbl 1253.14056) Full Text: DOI
Fichou, Goulwen The motivic real Milnor fibres. (English) Zbl 1258.14002 Manuscr. Math. 139, No. 1-2, 167-178 (2012). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14B05 14P20 14P25 32S15 PDF BibTeX XML Cite \textit{G. Fichou}, Manuscr. Math. 139, No. 1--2, 167--178 (2012; Zbl 1258.14002) Full Text: DOI
Mir, Nordine Algebraic approximation in CR geometry. (English. French summary) Zbl 1252.32039 J. Math. Pures Appl. (9) 98, No. 1, 72-88 (2012). Reviewer: Jiri Lebl (Madison) MSC: 32V20 32H02 32V40 32C07 14P05 14P20 PDF BibTeX XML Cite \textit{N. Mir}, J. Math. Pures Appl. (9) 98, No. 1, 72--88 (2012; Zbl 1252.32039) Full Text: DOI arXiv
Fernando, José F.; Gamboa, J. M. On the irreducible components of a semialgebraic set. (English) Zbl 1271.14087 Int. J. Math. 23, No. 4, Article ID 1250031, 40 p. (2012). Reviewer: Weiyi Zhang (Coventry) MSC: 14P10 14P20 58A07 PDF BibTeX XML Cite \textit{J. F. Fernando} and \textit{J. M. Gamboa}, Int. J. Math. 23, No. 4, Article ID 1250031, 40 p. (2012; Zbl 1271.14087) Full Text: DOI
Hrushovski, Ehud; Pillay, Anand Affine Nash groups over real closed fields. (English) Zbl 1267.14073 Confluentes Math. 3, No. 4, 577-585 (2011). MSC: 14P20 14P10 03C60 PDF BibTeX XML Cite \textit{E. Hrushovski} and \textit{A. Pillay}, Confluentes Math. 3, No. 4, 577--585 (2011; Zbl 1267.14073) Full Text: DOI arXiv
Demdah Kartoue, Mady \(h\)-cobordism and \(s\)-cobordism theorems: transfer over semialgebraic and Nash categories, uniform bound and effectiveness. (English. French summary) Zbl 1267.57024 Ann. Inst. Fourier 61, No. 4, 1573-1597 (2011). MSC: 57N70 14P10 14P20 PDF BibTeX XML Cite \textit{M. Demdah Kartoue}, Ann. Inst. Fourier 61, No. 4, 1573--1597 (2011; Zbl 1267.57024) Full Text: DOI EuDML
Zaitsev, Dmitri Formal and finite order equivalences. (English) Zbl 1239.32007 Math. Z. 269, No. 3-4, 687-696 (2011). Reviewer: Gerd Schmalz (Armidale) MSC: 32C07 32B10 14P15 14P20 PDF BibTeX XML Cite \textit{D. Zaitsev}, Math. Z. 269, No. 3--4, 687--696 (2011; Zbl 1239.32007) Full Text: DOI arXiv
Ha Huy Vui; Nguyen Thi Thao Atypical values at infinity of polynomial and rational functions on an algebraic surface in \(\mathbb R^n\). (English) Zbl 1238.14043 Acta Math. Vietnam. 36, No. 2, 537-553 (2011). Reviewer: María Jesús de la Puente (Madrid) MSC: 14P25 14P10 14P20 PDF BibTeX XML Cite \textit{Ha Huy Vui} and \textit{Nguyen Thi Thao}, Acta Math. Vietnam. 36, No. 2, 537--553 (2011; Zbl 1238.14043) Full Text: Link
Fichou, Goulwen; Shiota, Masahiro On almost blow-analytic equivalence. (English) Zbl 1241.26023 Proc. Lond. Math. Soc. (3) 103, No. 4, 676-709 (2011). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 26E05 14P15 14P20 58K20 PDF BibTeX XML Cite \textit{G. Fichou} and \textit{M. Shiota}, Proc. Lond. Math. Soc. (3) 103, No. 4, 676--709 (2011; Zbl 1241.26023) Full Text: DOI arXiv
McCrory, Cling; Parusiński, Adam The weight filtration for real algebraic varieties. (English) Zbl 1240.14012 Friedman, Greg (ed.) et al., Topology of stratified spaces. Based on lectures given at the workshop, Berkeley, CA, USA, September 8–12, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-19167-8/hbk). Mathematical Sciences Research Institute Publications 58, 121-160 (2011). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P25 14P10 14P20 PDF BibTeX XML Cite \textit{C. McCrory} and \textit{A. Parusiński}, Math. Sci. Res. Inst. Publ. 58, 121--160 (2011; Zbl 1240.14012)
Szpond, Justyna Some properties of analytic sets with proper projections. (English) Zbl 1230.14088 Ann. Univ. Paedagog. Crac. 84, Stud. Math. 9, 143-148 (2010). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P20 32C25 13P10 PDF BibTeX XML Cite \textit{J. Szpond}, Ann. Univ. Paedagog. Crac., Stud. Math. 84(9), 143--148 (2010; Zbl 1230.14088)
Shiota, Masahiro Analytic and Nash equivalence relations of Nash maps. (English) Zbl 1264.14076 Bull. Lond. Math. Soc. 42, No. 6, 1055-1064 (2010). MSC: 14P20 58A07 32C07 PDF BibTeX XML Cite \textit{M. Shiota}, Bull. Lond. Math. Soc. 42, No. 6, 1055--1064 (2010; Zbl 1264.14076) Full Text: DOI arXiv
Aizenbud, Avraham; Gourevitch, Dmitry The de-Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds. (English) Zbl 1208.58002 Isr. J. Math. 177, 155-188 (2010). MSC: 58A07 58A12 14P20 PDF BibTeX XML Cite \textit{A. Aizenbud} and \textit{D. Gourevitch}, Isr. J. Math. 177, 155--188 (2010; Zbl 1208.58002) Full Text: DOI arXiv
Kawakami, Tomohiro Definable \(C^{\infty } G\) manifold structures of definable \(C^r G\) manifolds. (English) Zbl 1183.14073 Far East J. Math. Sci. (FJMS) 37, No. 2, 133-143 (2010). MSC: 14P10 14P20 58A05 58A07 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 37, No. 2, 133--143 (2010; Zbl 1183.14073) Full Text: Link
Kawakami, Tomohiro Locally definable \(C^{\infty }G\) manifold structures of locally definable \(C^rG\) manifolds. (English) Zbl 1178.14059 Far East J. Math. Sci. (FJMS) 35, No. 1, 103-116 (2009). MSC: 14P10 14P20 57S05 57S15 58A05 58A07 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 35, No. 1, 103--116 (2009; Zbl 1178.14059) Full Text: Link
Bilski, Marcin Approximation of analytic sets along Nash subvarieties. (English) Zbl 1183.32007 Indag. Math., New Ser. 20, No. 1, 23-41 (2009). Reviewer: Tadeusz Krasiński (Łódź) MSC: 32B15 14P20 PDF BibTeX XML Cite \textit{M. Bilski}, Indag. Math., New Ser. 20, No. 1, 23--41 (2009; Zbl 1183.32007) Full Text: DOI
Kawakami, Tomohiro Relative definable \(C^rG\) triviality of \(G\) invariant proper definable \(C^r\) functions. (English) Zbl 1190.14059 Far East J. Math. Sci. (FJMS) 34, No. 2, 141-154 (2009). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 14P10 14P20 58A05 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 34, No. 2, 141--154 (2009; Zbl 1190.14059) Full Text: Link
Ghiloni, Riccardo Equations and complexity for the Dubois-Efroymson dimension theorem. (English) Zbl 1177.14094 Can. Math. Bull. 52, No. 2, 224-236 (2009). MSC: 14P05 14P20 PDF BibTeX XML Cite \textit{R. Ghiloni}, Can. Math. Bull. 52, No. 2, 224--236 (2009; Zbl 1177.14094) Full Text: DOI
Kawakami, Tomohiro Singularities of definable maps. (English) Zbl 1164.14013 Far East J. Math. Sci. (FJMS) 31, No. 2, 353-359 (2008). MSC: 14P10 14P20 57R45 58A07 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 31, No. 2, 353--359 (2008; Zbl 1164.14013) Full Text: Link
Kawakami, Tomohiro Definable \(C^\infty\) fiber bundles and definable \(C^\infty G\) vector bundles. (English) Zbl 1206.14083 Far East J. Math. Sci. (FJMS) 30, No. 1, 27-44 (2008). MSC: 14P10 14P20 57R22 57R35 57S10 57S15 58A05 58A07 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 30, No. 1, 27--44 (2008; Zbl 1206.14083) Full Text: Link
Finashin, S.; Kharlamov, V. Deformation classes of real four-dimensional cubic hypersurfaces. (English) Zbl 1225.14047 J. Algebr. Geom. 17, No. 4, 677-707 (2008). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P05 14P20 PDF BibTeX XML Cite \textit{S. Finashin} and \textit{V. Kharlamov}, J. Algebr. Geom. 17, No. 4, 677--707 (2008; Zbl 1225.14047) Full Text: DOI arXiv
Kawakami, Tomohiro Equivariant definable Morse functions on definable \(C^{r}G\) manifolds. (English) Zbl 1141.14316 Far East J. Math. Sci. (FJMS) 28, No. 1, 175-188 (2008). MSC: 14P10 14P20 57R35 57S10 57S15 58A05 03C64 PDF BibTeX XML Cite \textit{T. Kawakami}, Far East J. Math. Sci. (FJMS) 28, No. 1, 175--188 (2008; Zbl 1141.14316) Full Text: Link
Aizenbud, Avraham; Gourevitch, Dmitry Schwartz functions on Nash manifolds. (English) Zbl 1161.58002 Int. Math. Res. Not. 2008, Article ID rnm155, 37 p. (2008). Reviewer: Stanco Dimiev (Sofia) MSC: 58A07 14P20 PDF BibTeX XML Cite \textit{A. Aizenbud} and \textit{D. Gourevitch}, Int. Math. Res. Not. 2008, Article ID rnm155, 37 p. (2008; Zbl 1161.58002) Full Text: DOI arXiv
Fichou, Goulwen Blow-Nash types of simple singularities. (English) Zbl 1143.14005 J. Math. Soc. Japan 60, No. 2, 445-470 (2008). Reviewer: Carlos Galindo (Castellon) MSC: 14B05 14P20 14P25 32S15 PDF BibTeX XML Cite \textit{G. Fichou}, J. Math. Soc. Japan 60, No. 2, 445--470 (2008; Zbl 1143.14005) Full Text: DOI
Fichou, Goulwen Equivariant virtual Betti numbers. (English) Zbl 1142.14003 Ann. Inst. Fourier 58, No. 1, 1-27 (2008). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14B05 14P20 14P25 32S20 PDF BibTeX XML Cite \textit{G. Fichou}, Ann. Inst. Fourier 58, No. 1, 1--27 (2008; Zbl 1142.14003) Full Text: DOI Numdam EuDML
Guaraldo, Francesco Classification of real Nash fibre bundles. (English) Zbl 1138.14034 Math. Z. 259, No. 2, 311-319 (2008). Reviewer: Piotr Krasoń (Szczecin) MSC: 14P20 32C05 55P10 55R10 55R25 55R35 PDF BibTeX XML Cite \textit{F. Guaraldo}, Math. Z. 259, No. 2, 311--319 (2008; Zbl 1138.14034) Full Text: DOI
Denkowski, Maciej P.; Pierzchała, Rafał On the Kuratowski convergence of analytic sets. (English) Zbl 1140.14048 Ann. Pol. Math. 93, No. 2, 101-112 (2008). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P20 32C07 PDF BibTeX XML Cite \textit{M. P. Denkowski} and \textit{R. Pierzchała}, Ann. Pol. Math. 93, No. 2, 101--112 (2008; Zbl 1140.14048) Full Text: DOI
Kurdyka, Krzysztof; Paunescu, Laurentiu Hyperbolic polynomials and multiparameter real-analytic perturbation theory. (English) Zbl 1140.15006 Duke Math. J. 141, No. 1, 123-149 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 32B20 14P20 PDF BibTeX XML Cite \textit{K. Kurdyka} and \textit{L. Paunescu}, Duke Math. J. 141, No. 1, 123--149 (2008; Zbl 1140.15006) Full Text: DOI arXiv
Ballico, E. Real divisors of a projective variety containing a given scheme. (English) Zbl 1145.14319 Int. Math. Forum 2, No. 21-24, 1211-1214 (2007). MSC: 14P05 14P20 PDF BibTeX XML Cite \textit{E. Ballico}, Int. Math. Forum 2, No. 21--24, 1211--1214 (2007; Zbl 1145.14319) Full Text: DOI