Edit Profile (opens in new tab) Prokhorov, Yuriĭ Gennad’evich Co-Author Distance Author ID: prokhorov.yuri-g Published as: Prokhorov, Yu. G.; Prokhorov, Yuri; Prokhorov, Yuri G.; Prokhorov, Yu G.; Prokhorov, Yuriĭ G.; Prokhorov, Y. G.; Prokhorov, Yu. more...less Further Spellings: Прохоров Юрий Геннадьевич Homepage: https://homepage.mi-ras.ru/~prokhoro/ External Links: MGP · ORCID · Wikidata · arXiv · Google Scholar · Math-Net.Ru Documents Indexed: 152 Publications since 1987, including 3 Books and 13 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 124 Co-Authors with 76 Joint Publications 3,276 Co-Co-Authors all top 5 Co-Authors 78 single-authored 14 Shramov, Konstantin Aleksandrovich 12 Mori, Shigefumi 11 Zaidenberg, Mikhail G. 10 Cheltsov, Ivan Anatol’evich 7 Kuznetsov, Aleksandr Gennad’evich 7 Parshin, Alekseĭ Nikolaevich 6 Bogomolov, Fedor Alekseivich 6 Reid, Miles 5 Kulikov, Viktor Stepanovich 5 Nikulin, Vyacheslav Valentinovich 5 Orlov, Dmitri O. 5 Shokurov, Vyacheslav Vladimirovich 4 Kishimoto, Takashi 4 Kolpakov-Miroshnichenko, I. Ya. 4 Manin, Yuriĭ Ivanovich 3 Artamonov, Vyacheslav Aleksandrovich 3 Gorchinskiĭ, Sergeĭ Olegovich 3 Guterman, Alexander Èmilevich 3 Mikhalëv, Aleksandr Vasil’evich 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Shafarevich, Igor’ Rostislavovich 3 Zaĭtsev, Mikhail Vladimirovich 2 Balaba, Irina Nikolaevna 2 Blanc, Jérémy 2 Bokut, Leonid A. 2 Borisenko, Vladimir V. 2 Bukhshtaber, Viktor Matveevich 2 Bunina, Elena Igor’evna 2 Catanese, Fabrizio M. E. 2 Chubarov, Igor A. 2 Duncan, Alexander 2 Hacking, Paul 2 Kanel’-Belov, Alekseĭ Yakovlevich 2 Kang, Ming-Chang 2 Kanunnikov, Andrei Leonidovich 2 Klyachko, Anton Aleksandrovich 2 Kulikova, O. V. 2 Markova, Olga V. 2 Markushevich, Dimitri Genrikhovich 2 McKernan, James 2 Osipov, Denis Vasil’evich 2 Popov, Vladimir Leonidovich 2 Przhiyalkovskiĭ, Viktor Vladimirovich 2 Pukhlikov, Aleksandr Valentinovich 2 Shafarevich, Andreĭ Igorevich 2 Shestakov, Ivan Pavlovich 2 Shirshova, Elena Evgen’evna 2 Timashev, Dmitri A. 2 Zarkhin, Yuriĭ Gennad’evich 2 Zheglov, Alexander B. 1 Adrianov, Nikolai M. 1 Andreev, K. K. 1 Arzhantsev, Ivan Vladimirovich 1 Arzhantseva, Goulnara N. 1 Atabekyan, Varuzhan S. 1 Bahturin, Yuri 1 Bezverkhniĭ, N. V. 1 Birkar, Caucher 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Chu, Huah 1 Chubarikov, Vladimir Nikolaevich 1 Ciliberto, Ciro 1 Deryabina, G. S. 1 Déserti, Julie 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Dubrovin, Nikolaĭ Ivanovich 1 Ershov, Yuriĭ Leonidovich 1 Flenner, Hubert 1 Gaifullin, Sergey A. 1 Glavatskiĭ, Sergeĭ Timofeevich 1 Golubchik, Igor Z. 1 González, Santos 1 Grishin, Aleksandr V. 1 Guba, Victor S. 1 Hu, Shou-Jen 1 Ilyina, N. K. 1 Ishii, Shihoko 1 Iskovskikh, Vasiliĭ Alekseevich 1 Kemer, Aleksandr Robertovich 1 Kharchenko, Vladislav K. 1 Kharlamov, Viatcheslav M. 1 Kislitsyn, E. S. 1 Konyagin, Sergeĭ Vladimirovich 1 Kostrikin, Alekseĭ Ivanovich 1 Kozhukhov, Igor’ Borisovich 1 Kreĭnes, Elena M. 1 Kuz’min, Leonid Viktorovich 1 Lukashenko, Taras P. 1 Martínez López, Consuelo 1 Mikaelyan, V. H. 1 Mikhaĭlovskiĭ, K. V. 1 Mikhalëv, Aleksandr Aleksandrovich 1 Milenteva, Maria V. 1 Minasyan, A. È. 1 Mishchenko, Sergeĭ Petrovich 1 Nemirovskiĭ, Stefan Yur’evich 1 Nesterenko, Yuriĭ Valentinovich 1 Novikov, Sergeĭ Petrovich 1 Panin, Ivan A. 1 Pankrat’ev, Anton Evgen’evich ...and 24 more Co-Authors all top 5 Serials 12 Russian Mathematical Surveys 11 Journal of Mathematical Sciences (New York) 11 Sbornik: Mathematics 9 Izvestiya: Mathematics 4 Mathematical Notes 4 American Journal of Mathematics 4 Proceedings of the Steklov Institute of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 European Journal of Mathematics 2 Communications in Algebra 2 Moscow University Mathematics Bulletin 2 Compositio Mathematica 2 Journal of Algebra 2 International Journal of Mathematics 2 Journal of Algebraic Geometry 2 St. Petersburg Mathematical Journal 2 Fundamental’naya i Prikladnaya Matematika 2 Advances in Geometry 2 Chebyshevskiĭ Sbornik 2 Kyoto Journal of Mathematics 2 Lektsionnye Kursy NOTs 2 Algebraic Geometry 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Matematicheskie Zametki 1 Journal of Guidance, Control and Dynamics 1 Annales de l’Institut Fourier 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Algebra i Analiz 1 IMRN. International Mathematics Research Notices 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Mathematical Research Letters 1 Documenta Mathematica 1 Transformation Groups 1 The Asian Journal of Mathematics 1 Moscow Mathematical Journal 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 MSJ Memoirs 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Japanese Journal of Mathematics. 3rd Series 1 Springer Proceedings in Mathematics & Statistics 1 EMS Surveys in Mathematical Sciences 1 Épijournal de Géométrie Algébrique. EPIGA 1 Electronic Research Archive all top 5 Fields 136 Algebraic geometry (14-XX) 10 History and biography (01-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Group theory and generalizations (20-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 1 Combinatorics (05-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 1,426 times in 666 Documents Cited by ▼ Year ▼ Fano varieties. Zbl 0912.14013 Iskovskikh, V. A.; Prokhorov, Yu. G. 179 1999 Towards the second main theorem on complements. Zbl 1159.14020 Prokhorov, Yu. G.; Shokurov, V. V. 72 2009 Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031 Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. 65 2018 Smoothable del Pezzo surfaces with quotient singularities. Zbl 1194.14054 Hacking, Paul; Prokhorov, Yuri 54 2010 Simple finite subgroups of the Cremona group of rank 3. Zbl 1257.14011 Prokhorov, Yuri 46 2012 Jordan property for Cremona groups. Zbl 1343.14010 Prokhorov, Yuri; Shramov, Constantin 42 2016 Jordan property for groups of birational selfmaps. Zbl 1314.14022 Prokhorov, Yuri; Shramov, Constantin 40 2014 Lectures on complements on log surfaces. Zbl 1037.14003 Prokhorov, Yu. G. 32 2001 The degree of Fano threefolds with canonical Gorenstein singularities. Zbl 1081.14058 Prokhorov, Yu. G. 32 2005 Group actions on affine cones. Zbl 1257.14039 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 27 2011 On \(\mathbb Q\)-conic bundles. Zbl 1151.14029 Mori, Shigefumi; Prokhorov, Yuri 26 2008 \(G\)-Fano threefolds. I. Zbl 1291.14024 Prokhorov, Yuri 25 2013 \(\mathbb G_{\text a}\)-actions on affine cones. Zbl 1297.14061 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 24 2013 Blow-ups of canonical singularities. Zbl 1003.14005 Prokhorov, Yu. G. 23 2000 Unipotent group actions on del Pezzo cones. Zbl 1418.14016 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 23 2014 Jordan constant for Cremona group of rank 3. Zbl 1411.14018 Prokhorov, Yuri; Shramov, Constantin 23 2017 On \(G\)-Fano threefolds. Zbl 1331.14019 Prokhorov, Yu G. 22 2015 Threefold thresholds. Zbl 1060.14022 McKernan, James; Prokhorov, Yuri 22 2004 The rationality problem for conic bundles. Zbl 1400.14040 Prokhorov, Yuriĭ G. 21 2018 Noether’s problem for groups of order 32. Zbl 1154.14011 Chu, Huah; Hu, Shou-Jen; Kang, Ming-Chang; Prokhorov, Y. G. 21 2008 Fields of invariants of finite linear groups. Zbl 1204.14007 Prokhorov, Yuri G. 20 2010 On the Zariski decomposition problem. Zbl 1092.14024 Prokhorov, Yu. G. 18 2003 \(\mathbb Q\)-Fano threefolds of large Fano index. I. Zbl 1218.14031 Prokhorov, Yuri 18 2010 Finite groups of birational selfmaps of threefolds. Zbl 1423.14094 Prokhorov, Yuri; Shramov, Constantin 16 2018 On \(\mathbb{Q}\)-Fano \(3\)-folds of Fano index 2. Zbl 1372.14033 Prokhorov, Yuri; Reid, Miles 16 2016 \(G\)-Fano threefolds. II. Zbl 1291.14025 Prokhorov, Yuri 15 2013 The degree of \( \mathbb Q\)-Fano threefolds. Zbl 1139.14033 Prokhorov, Yu G. 15 2007 Affine cones over Fano threefolds and additive group actions. Zbl 1308.14066 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 14 2014 Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\). Zbl 1423.14244 Prokhorov, Yuri; Zaidenberg, Mikhail 14 2018 Automorphism groups of Fano manifolds. Zbl 0707.14037 Prokhorov, Yu. G. 14 1990 \(\rho\)-elementary subgroups of the Cremona group of rank 3. Zbl 1221.14015 Prokhorov, Yuri 14 2011 Singular Fano threefolds of genus 12. Zbl 1372.14032 Prokhorov, Yuri G. 13 2016 On stable conjugacy of finite subgroups of the plane Cremona group. I. Zbl 1286.14016 Bogomolov, Fedor; Prokhorov, Yuri 13 2013 Examples of cylindrical Fano fourfolds. Zbl 1375.14206 Prokhorov, Yuri; Zaidenberg, Mikhail 12 2016 Multiple fibers of del Pezzo fibrations. Zbl 1312.14048 Mori, Shigefumi; Prokhorov, Yuri 12 2009 On the existence of complements of the canonical divisor for Mori conic bundles. Zbl 0921.14025 Prokhorov, Yu. G. 11 1997 The first main theorem on complements: From global to local. Zbl 1068.14018 Prokhorov, Yu. G.; Shokurov, V. V. 11 2001 Exceptional quotient singularities. Zbl 0958.14003 Markushevich, D.; Prokhorov, Yu. G. 11 1999 Compactifications of \(\mathbb{C}^ 4\) of index 3. Zbl 0816.32021 Prokhorov, Yuri G. 11 1994 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.) Zbl 1411.14046 Kuznetsov, Alexander; Prokhorov, Yuri 11 2018 Fano threefolds of large Fano index and large degree. Zbl 1279.14051 Prokhorov, Yu G. 11 2013 \(p\)-subgroups in the space Cremona group. Zbl 1423.14099 Prokhorov, Yuri; Shramov, Constantin 11 2018 Automorphism groups of compact complex surfaces. Zbl 1485.14075 Prokhorov, Yuri; Shramov, Constantin 10 2021 2-elementary subgroups of the space Cremona group. Zbl 1327.14070 Prokhorov, Yuri 9 2014 \(\mathbb{Q}\)-Fano threefolds of index 7. Zbl 1360.14111 Prokhorov, Yuri G. 9 2016 New examples of cylindrical Fano fourfolds. Zbl 1396.14062 Prokhorov, Yuri; Zaidenberg, Mikhail 9 2017 On the number of singular points of terminal factorial Fano threefolds. Zbl 1391.14082 Prokhorov, Yu. G. 9 2017 Del Pezzo surfaces with infinite automorphism groups. Zbl 1456.14051 Cheltsov, Ivan; Prokhorov, Yuri 9 2021 Rational surfaces. (Рациональные поверхности.) Zbl 1391.14002 Prokhorov, Yu. G. 8 2015 Threefold extremal contractions of type (IA). Zbl 1230.14017 Mori, Shigefumi; Prokhorov, Yuri 8 2011 Equivariant minimal model program. Zbl 1478.14030 Prokhorov, Yu. G. 8 2021 Bounded automorphism groups of compact complex surfaces. Zbl 1455.14083 Prokhorov, Yu. G.; Shramov, C. A. 8 2020 Rationality of three-dimensional quotients by monomial actions. Zbl 1219.14017 Kang, Ming-chang; Prokhorov, Yuri G. 7 2010 On Fano-Enriques threefolds. Zbl 1174.14035 Prokhorov, Yu. G. 7 2007 On birational involutions of \(\mathbb P^3\). Zbl 1282.14025 Prokhorov, Yu. G. 7 2013 On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040 Mori, Shigefumi; Prokhorov, Yuri 7 2009 Finite quasisimple groups acting on rationally connected threefolds. Zbl 1518.14015 Blanc, Jérémy; Cheltsov, Ivan; Duncan, Alexander; Prokhorov, Yuri 7 2023 On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011 Mori, Shigefumi; Prokhorov, Yuri 7 2008 Cylinders in Fano varieties. Zbl 1492.14016 Cheltsov, Ivan; Park, Jihun; Prokhorov, Yuri; Zaidenberg, Mikhail 7 2021 A remark on Fano threefolds with canonical Gorenstein singularities. Zbl 1062.14051 Prokhorov, Yuri G. 6 2004 Automorphism groups of Inoue and Kodaira surfaces. Zbl 1451.14038 Prokhorov, Yuri; Shramov, Constantin 6 2020 Automorphism groups of Moishezon threefolds. Zbl 1433.14039 Prokhorov, Yu. G.; Shramov, K. A. 6 2019 Hypersurface exceptional singularities. Zbl 1068.14004 Ishii, Shihoko; Prokhorov, Yuri 5 2001 Fano threefolds of genus 12 and compactifications of \(\mathbb{C}^ 3\). Zbl 0790.14038 Prokhorov, Yu. G. 5 1991 A note on degenerations of del Pezzo surfaces. (Une remarque sur dégénérescences de surfaces de del Pezzo.) Zbl 1330.14063 Prokhorov, Yuri 5 2015 On a conjecture of Shokurov: Characterization of toric varieties. Zbl 1078.14515 Prokhorov, Yuri G. 5 2001 On stable conjugacy of finite subgroups of the plane Cremona group. II. Zbl 1386.14067 Prokhorov, Yuri 5 2015 Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043 Mori, S.; Prokhorov, Yu. G. 5 2019 Rationality of Fano threefolds with terminal Gorenstein singularities. I. Zbl 1471.14032 Prokhorov, Yuri G. 5 2019 Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds. Zbl 1456.14020 Prokhorov, Yuri G.; Shramov, Constantin A. 5 2020 On algebraic threefolds whose hyperplane sections are Enriques surfaces. Zbl 0868.14020 Prokhorov, Yu. G. 4 1995 On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point. Zbl 0911.14002 Prokhorov, Yuri G. 4 1997 3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030 Mori, Shigefumi; Prokhorov, Yuri 4 2014 Threefold extremal contractions of type (IIA). I. Zbl 1359.14037 Mori, S.; Prokhorov, Yu. G. 4 2016 Rationality of Fano threefolds over non-closed fields. Zbl 1525.14022 Kuznetsov, Alexander; Prokhorov, Yuri 4 2023 On exotic Fano varieties. Zbl 0732.14020 Prokhorov, Yu. G. 4 1990 On semistable Mori contractions. Zbl 1075.14014 Prokhorov, Yu. G. 3 2004 Constructions of rationality of some four-dimensional Fano varieties of index 2. Zbl 0808.14032 Prokhorov, Yu. G. 3 1993 On log canonical thresholds. Zbl 1070.14505 Prokhorov, Yu. G. 3 2001 On higher-dimensional del Pezzo varieties. Zbl 1540.14083 Kuznetsov, Alexander G.; Prokhorov, Yuri G. 3 2023 Fano-Mukai fourfolds of genus 10 and their automorphism groups. Zbl 1489.14055 Prokhorov, Yuri; Zaidenberg, Mikhail 3 2022 Gap conjecture for \(3\)-dimensional canonical thresholds. Zbl 1185.14004 Prokhorov, Yuri 3 2008 Rationality of Mukai varieties over non-closed fields. Zbl 1497.14027 Kuznetsov, Alexander; Prokhorov, Yuri 3 2021 Mori conic bundles with a reduced log-terminal boundary. Zbl 0942.14020 Prokhorov, Yu. G. 2 1999 Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces. Zbl 1038.14017 Prokhorov, Yu. G. 2 2003 On log canonical thresholds. II. Zbl 1053.14013 Prokhorov, Yu. G. 2 2002 On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point and a nonsingular base surface. Zbl 0948.14012 Prokhorov, Yu. G. 2 1999 Sparseness of exceptional quotient singularities. Zbl 1060.14521 Prokhorov, Yu. G. 2 2000 A remark on the resolution of three-dimensional terminal singularities. Zbl 1070.14017 Prokhorov, Yu. G. 2 2002 Rationality of \(\mathbb Q\)-Fano threefolds of large Fano index. Zbl 1524.14108 Prokhorov, Yuri 2 2022 Threefold extremal contractions of type (IIA). Zbl 1418.14005 Mori, Shigefumi; Prokhorov, Yuri 2 2018 Rationality of Fano threefolds with terminal Gorenstein singularities. II. Zbl 1512.14023 Prokhorov, Yuri 2 2023 Rationality over nonclosed fields of Fano threefolds with higher geometric Picard rank. Zbl 1536.14010 Kuznetsov, Alexander; Prokhorov, Yuri 2 2024 Birational self-maps of threefolds of (un)-bounded genus or gonality. Zbl 1489.14025 Blanc, Jérémy; Cheltsov, Ivan; Duncan, Alexander; Prokhorov, Yuri 2 2022 General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 1478.14029 Mori, Shigefumi; Prokhorov, Yuri G. 2 2021 Klein’s group defines an exceptional singularity of dimension 3. Zbl 0947.14002 Markushevich, D. G.; Prokhorov, Yu. G. 1 1999 \(E1\)-blowing ups of terminal singularities. Zbl 1038.14005 Prokhorov, Yu. G. 1 2003 The Riemann-Roch theorem on surfaces with log terminal singularities. Zbl 1073.14018 Prokhorov, Yu. G.; Verevkin, A. B. 1 2004 An application of the canonical bundle formula. Zbl 1082.14016 Prokhorov, Yu. G. 1 2003 The existence of a smooth divisor on Fano 4-folds of index 2. Zbl 0848.14018 Prokhorov, Yu. G. 1 1994 Rationality over nonclosed fields of Fano threefolds with higher geometric Picard rank. Zbl 1536.14010 Kuznetsov, Alexander; Prokhorov, Yuri 2 2024 Finite quasisimple groups acting on rationally connected threefolds. Zbl 1518.14015 Blanc, Jérémy; Cheltsov, Ivan; Duncan, Alexander; Prokhorov, Yuri 7 2023 Rationality of Fano threefolds over non-closed fields. Zbl 1525.14022 Kuznetsov, Alexander; Prokhorov, Yuri 4 2023 On higher-dimensional del Pezzo varieties. Zbl 1540.14083 Kuznetsov, Alexander G.; Prokhorov, Yuri G. 3 2023 Rationality of Fano threefolds with terminal Gorenstein singularities. II. Zbl 1512.14023 Prokhorov, Yuri 2 2023 Embeddings of the symmetric groups to the space Cremona group. Zbl 1547.14022 Prokhorov, Yuri 1 2023 Finite groups of birational transformations. Zbl 1523.14031 Prokhorov, Yuri 1 2023 Affine cones over Fano-Mukai fourfolds of genus 10 are flexible. Zbl 1530.14073 Prokhorov, Yuri; Zaidenberg, Mikhail 1 2023 Fano-Mukai fourfolds of genus 10 and their automorphism groups. Zbl 1489.14055 Prokhorov, Yuri; Zaidenberg, Mikhail 3 2022 Rationality of \(\mathbb Q\)-Fano threefolds of large Fano index. Zbl 1524.14108 Prokhorov, Yuri 2 2022 Birational self-maps of threefolds of (un)-bounded genus or gonality. Zbl 1489.14025 Blanc, Jérémy; Cheltsov, Ivan; Duncan, Alexander; Prokhorov, Yuri 2 2022 Conic bundle structures on \(\mathbb{Q}\)-Fano threefolds. Zbl 1518.14061 Prokhorov, Yuri 1 2022 Finite groups of bimeromorphic self-maps of nonuniruled Kähler threefolds. Zbl 1525.14020 Prokhorov, Yuri G.; Shramov, Constantin A. 1 2022 Automorphism groups of compact complex surfaces. Zbl 1485.14075 Prokhorov, Yuri; Shramov, Constantin 10 2021 Del Pezzo surfaces with infinite automorphism groups. Zbl 1456.14051 Cheltsov, Ivan; Prokhorov, Yuri 9 2021 Equivariant minimal model program. Zbl 1478.14030 Prokhorov, Yu. G. 8 2021 Cylinders in Fano varieties. Zbl 1492.14016 Cheltsov, Ivan; Park, Jihun; Prokhorov, Yuri; Zaidenberg, Mikhail 7 2021 Rationality of Mukai varieties over non-closed fields. Zbl 1497.14027 Kuznetsov, Alexander; Prokhorov, Yuri 3 2021 General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 1478.14029 Mori, Shigefumi; Prokhorov, Yuri G. 2 2021 Quasi-simple finite groups of essential dimension 3. Zbl 1475.14091 Prokhorov, Yu. 1 2021 Bounded automorphism groups of compact complex surfaces. Zbl 1455.14083 Prokhorov, Yu. G.; Shramov, C. A. 8 2020 Automorphism groups of Inoue and Kodaira surfaces. Zbl 1451.14038 Prokhorov, Yuri; Shramov, Constantin 6 2020 Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds. Zbl 1456.14020 Prokhorov, Yuri G.; Shramov, Constantin A. 5 2020 Automorphism groups of Moishezon threefolds. Zbl 1433.14039 Prokhorov, Yu. G.; Shramov, K. A. 6 2019 Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043 Mori, S.; Prokhorov, Yu. G. 5 2019 Rationality of Fano threefolds with terminal Gorenstein singularities. I. Zbl 1471.14032 Prokhorov, Yuri G. 5 2019 Log-canonical degenerations of del Pezzo surfaces in \(\mathbb{Q}\)-Gorenstein families. Zbl 1440.14173 Prokhorov, Yuri 1 2019 Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031 Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. 65 2018 The rationality problem for conic bundles. Zbl 1400.14040 Prokhorov, Yuriĭ G. 21 2018 Finite groups of birational selfmaps of threefolds. Zbl 1423.14094 Prokhorov, Yuri; Shramov, Constantin 16 2018 Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\). Zbl 1423.14244 Prokhorov, Yuri; Zaidenberg, Mikhail 14 2018 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.) Zbl 1411.14046 Kuznetsov, Alexander; Prokhorov, Yuri 11 2018 \(p\)-subgroups in the space Cremona group. Zbl 1423.14099 Prokhorov, Yuri; Shramov, Constantin 11 2018 Threefold extremal contractions of type (IIA). Zbl 1418.14005 Mori, Shigefumi; Prokhorov, Yuri 2 2018 Jordan constant for Cremona group of rank 3. Zbl 1411.14018 Prokhorov, Yuri; Shramov, Constantin 23 2017 New examples of cylindrical Fano fourfolds. Zbl 1396.14062 Prokhorov, Yuri; Zaidenberg, Mikhail 9 2017 On the number of singular points of terminal factorial Fano threefolds. Zbl 1391.14082 Prokhorov, Yu. G. 9 2017 Jordan property for Cremona groups. Zbl 1343.14010 Prokhorov, Yuri; Shramov, Constantin 42 2016 On \(\mathbb{Q}\)-Fano \(3\)-folds of Fano index 2. Zbl 1372.14033 Prokhorov, Yuri; Reid, Miles 16 2016 Singular Fano threefolds of genus 12. Zbl 1372.14032 Prokhorov, Yuri G. 13 2016 Examples of cylindrical Fano fourfolds. Zbl 1375.14206 Prokhorov, Yuri; Zaidenberg, Mikhail 12 2016 \(\mathbb{Q}\)-Fano threefolds of index 7. Zbl 1360.14111 Prokhorov, Yuri G. 9 2016 Threefold extremal contractions of type (IIA). I. Zbl 1359.14037 Mori, S.; Prokhorov, Yu. G. 4 2016 On \(G\)-Fano threefolds. Zbl 1331.14019 Prokhorov, Yu G. 22 2015 Rational surfaces. (Рациональные поверхности.) Zbl 1391.14002 Prokhorov, Yu. G. 8 2015 A note on degenerations of del Pezzo surfaces. (Une remarque sur dégénérescences de surfaces de del Pezzo.) Zbl 1330.14063 Prokhorov, Yuri 5 2015 On stable conjugacy of finite subgroups of the plane Cremona group. II. Zbl 1386.14067 Prokhorov, Yuri 5 2015 Jordan property for groups of birational selfmaps. Zbl 1314.14022 Prokhorov, Yuri; Shramov, Constantin 40 2014 Unipotent group actions on del Pezzo cones. Zbl 1418.14016 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 23 2014 Affine cones over Fano threefolds and additive group actions. Zbl 1308.14066 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 14 2014 2-elementary subgroups of the space Cremona group. Zbl 1327.14070 Prokhorov, Yuri 9 2014 3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030 Mori, Shigefumi; Prokhorov, Yuri 4 2014 Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012. Zbl 1291.14005 1 2014 \(G\)-Fano threefolds. I. Zbl 1291.14024 Prokhorov, Yuri 25 2013 \(\mathbb G_{\text a}\)-actions on affine cones. Zbl 1297.14061 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 24 2013 \(G\)-Fano threefolds. II. Zbl 1291.14025 Prokhorov, Yuri 15 2013 On stable conjugacy of finite subgroups of the plane Cremona group. I. Zbl 1286.14016 Bogomolov, Fedor; Prokhorov, Yuri 13 2013 Fano threefolds of large Fano index and large degree. Zbl 1279.14051 Prokhorov, Yu G. 11 2013 On birational involutions of \(\mathbb P^3\). Zbl 1282.14025 Prokhorov, Yu. G. 7 2013 Simple finite subgroups of the Cremona group of rank 3. Zbl 1257.14011 Prokhorov, Yuri 46 2012 Group actions on affine cones. Zbl 1257.14039 Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 27 2011 \(\rho\)-elementary subgroups of the Cremona group of rank 3. Zbl 1221.14015 Prokhorov, Yuri 14 2011 Threefold extremal contractions of type (IA). Zbl 1230.14017 Mori, Shigefumi; Prokhorov, Yuri 8 2011 Smoothable del Pezzo surfaces with quotient singularities. Zbl 1194.14054 Hacking, Paul; Prokhorov, Yuri 54 2010 Fields of invariants of finite linear groups. Zbl 1204.14007 Prokhorov, Yuri G. 20 2010 \(\mathbb Q\)-Fano threefolds of large Fano index. I. Zbl 1218.14031 Prokhorov, Yuri 18 2010 Rationality of three-dimensional quotients by monomial actions. Zbl 1219.14017 Kang, Ming-chang; Prokhorov, Yuri G. 7 2010 Towards the second main theorem on complements. Zbl 1159.14020 Prokhorov, Yu. G.; Shokurov, V. V. 72 2009 Multiple fibers of del Pezzo fibrations. Zbl 1312.14048 Mori, Shigefumi; Prokhorov, Yuri 12 2009 On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040 Mori, Shigefumi; Prokhorov, Yuri 7 2009 On \(\mathbb Q\)-conic bundles. Zbl 1151.14029 Mori, Shigefumi; Prokhorov, Yuri 26 2008 Noether’s problem for groups of order 32. Zbl 1154.14011 Chu, Huah; Hu, Shou-Jen; Kang, Ming-Chang; Prokhorov, Y. G. 21 2008 On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011 Mori, Shigefumi; Prokhorov, Yuri 7 2008 Gap conjecture for \(3\)-dimensional canonical thresholds. Zbl 1185.14004 Prokhorov, Yuri 3 2008 The degree of \( \mathbb Q\)-Fano threefolds. Zbl 1139.14033 Prokhorov, Yu G. 15 2007 On Fano-Enriques threefolds. Zbl 1174.14035 Prokhorov, Yu. G. 7 2007 The degree of Fano threefolds with canonical Gorenstein singularities. Zbl 1081.14058 Prokhorov, Yu. G. 32 2005 On semistable Mori conic bundles. Zbl 1185.14013 Prokhorov, Yu. G. 1 2005 Threefold thresholds. Zbl 1060.14022 McKernan, James; Prokhorov, Yuri 22 2004 A remark on Fano threefolds with canonical Gorenstein singularities. Zbl 1062.14051 Prokhorov, Yuri G. 6 2004 On semistable Mori contractions. Zbl 1075.14014 Prokhorov, Yu. G. 3 2004 The Riemann-Roch theorem on surfaces with log terminal singularities. Zbl 1073.14018 Prokhorov, Yu. G.; Verevkin, A. B. 1 2004 On the Zariski decomposition problem. Zbl 1092.14024 Prokhorov, Yu. G. 18 2003 Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces. Zbl 1038.14017 Prokhorov, Yu. G. 2 2003 \(E1\)-blowing ups of terminal singularities. Zbl 1038.14005 Prokhorov, Yu. G. 1 2003 An application of the canonical bundle formula. Zbl 1082.14016 Prokhorov, Yu. G. 1 2003 On log canonical thresholds. II. Zbl 1053.14013 Prokhorov, Yu. G. 2 2002 A remark on the resolution of three-dimensional terminal singularities. Zbl 1070.14017 Prokhorov, Yu. G. 2 2002 Lectures on complements on log surfaces. Zbl 1037.14003 Prokhorov, Yu. G. 32 2001 The first main theorem on complements: From global to local. Zbl 1068.14018 Prokhorov, Yu. G.; Shokurov, V. V. 11 2001 Hypersurface exceptional singularities. Zbl 1068.14004 Ishii, Shihoko; Prokhorov, Yuri 5 2001 On a conjecture of Shokurov: Characterization of toric varieties. Zbl 1078.14515 Prokhorov, Yuri G. 5 2001 On log canonical thresholds. Zbl 1070.14505 Prokhorov, Yu. G. 3 2001 Complements on conic fibrations. I. Zbl 1045.14018 Prokhorov, Yu. G. 1 2001 On the classification of Mori contractions: The case of an elliptic curve. Zbl 1011.14006 Prokhorov, Yu. G. 1 2001 Blow-ups of canonical singularities. Zbl 1003.14005 Prokhorov, Yu. G. 23 2000 Sparseness of exceptional quotient singularities. Zbl 1060.14521 Prokhorov, Yu. G. 2 2000 Boundedness of nonbirational extremal contractions. Zbl 1060.14510 Prokhorov, Yuri G. 1 2000 Fano varieties. Zbl 0912.14013 Iskovskikh, V. A.; Prokhorov, Yu. G. 179 1999 Exceptional quotient singularities. Zbl 0958.14003 Markushevich, D.; Prokhorov, Yu. G. 11 1999 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 505 Authors 53 Prokhorov, Yuriĭ Gennad’evich 39 Cheltsov, Ivan Anatol’evich 31 Shramov, Konstantin Aleksandrovich 15 Kang, Ming-Chang 15 Przhiyalkovskiĭ, Viktor Vladimirovich 15 Won, Joonyeong 13 Park, Jihun 11 Birkar, Caucher 11 Tschinkel, Yuri 11 Zaidenberg, Mikhail G. 10 Hoshi, Akinari 10 Kishimoto, Takashi 9 Ciliberto, Ciro 9 Dubouloz, Adrien 9 Kuznetsov, Aleksandr Gennad’evich 8 Casagrande, Cinzia 8 Casnati, Gianfranco 8 Choi, Sung Rak 8 Han, Jingjun 8 Jiang, Chen 8 Mori, Shigefumi 7 Faenzi, Daniele 7 Gongyo, Yoshinori 7 Karzhemanov, Ilya 7 Liu, Yuchen 7 Moraga Saez, Joaquín Leonardo 7 Peternell, Thomas Martin 6 Arzhantsev, Ivan Vladimirovich 6 Cascini, Paolo 6 Chung, Kiryong 6 Dedieu, Thomas 6 Fujita, Kento 6 Kasprzyk, Alexander M. 6 Kollár, János 6 Liu, Jihao 6 Loginov, Konstantin Konstantinovich 6 Manivel, Laurent 6 Svaldi, Roberto 6 Yamasaki, Aiichi 5 Avilov, Artëm Alekseevich 5 Filipazzi, Stefano 5 Fujino, Osamu 5 Jahnke, Priska 5 Krylov, Igor 5 Lee, Namhoon 5 Lehmann, Brian 5 Malaspina, Francesco 5 Mundet i Riera, Ignasi 5 Park, Jinhyung 5 Perepechko, Alexander 5 Shinder, Evgeny 5 Xu, Chenyang 5 Zarkhin, Yuriĭ Gennad’evich 4 Belousov, Grigory Nikolaevich 4 Brown, Gavin Dennis 4 Chen, Yifei 4 DeVleming, Kristin 4 Floris, Enrica 4 Hacon, Christopher Derek 4 Kaloghiros, Anne-Sophie 4 Kim, In-Kyun 4 Knutsen, Andreas Leopold 4 Laterveer, Robert 4 Lopez, Angelo Felice 4 Martinez-Garcia, Jesus 4 Okada, Takuzo 4 Petracci, Andrea 4 Radloff, Ivo 4 Sawahara, Masatomo 4 Spotti, Cristiano 4 Tanimoto, Sho 4 Urzúa, Giancarlo 4 Yasinsky, Egor 4 Zhang, De-Qi 3 Abban, Hamid 3 Bandman, Tatiana M. 3 Benedetti, Vladimiro 3 Campo, Livia 3 Chen, Guodu 3 Chu, Huah 3 Coates, Tom 3 Di Cerbo, Gabriele 3 Ducat, Tom 3 Duncan, Alexander 3 Esser, Louis 3 Fatighenti, Enrico 3 Gallardo, Patricio 3 Genç, Özhan 3 Hassett, Brendan 3 Hoff, Michael 3 Höring, Andreas 3 Iliev, Atanas Iliev 3 Kitayama, Hidetaka 3 Kresch, Andrew 3 Lazić, Vladimir 3 Lee, SangHyeon 3 Li, Chi 3 Liu, Zhiyu 3 Massarenti, Alex 3 Merkur’ev, Aleksandr Sergeevich ...and 405 more Authors all top 5 Cited in 130 Serials 30 Journal of Algebra 27 Mathematische Zeitschrift 24 European Journal of Mathematics 23 Advances in Mathematics 22 International Journal of Mathematics 19 Mathematische Annalen 18 Journal of Algebraic Geometry 16 Transformation Groups 15 Manuscripta Mathematica 14 Journal of Pure and Applied Algebra 13 Mathematical Notes 13 Mathematische Nachrichten 12 Annales de l’Institut Fourier 12 Journal of the London Mathematical Society. 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Sezione VII 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques ...and 30 more Serials all top 5 Cited in 30 Fields 627 Algebraic geometry (14-XX) 71 Several complex variables and analytic spaces (32-XX) 45 Group theory and generalizations (20-XX) 43 Commutative algebra (13-XX) 31 Differential geometry (53-XX) 21 Field theory and polynomials (12-XX) 20 Number theory (11-XX) 17 Manifolds and cell complexes (57-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Convex and discrete geometry (52-XX) 6 Associative rings and algebras (16-XX) 4 Quantum theory (81-XX) 3 \(K\)-theory (19-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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