Edit Profile Prokhorov, Yuriĭ Gennad’evich Compute Distance To: Compute 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. Homepage: https://homepage.mi-ras.ru/~prokhoro/ External Links: MGP · ORCID · Wikidata · arXiv · Google Scholar · Math-Net.Ru Documents Indexed: 118 Publications since 1987, including 3 Books all top 5 Co-Authors 62 single-authored 11 Shramov, Konstantin Aleksandrovich 10 Mori, Shigefumi 9 Zaidenberg, Mikhail G. 7 Cheltsov, Ivan Anatol’evich 6 Parshin, Alexei N. 5 Shokurov, Vyacheslav Vladimirovich 4 Bogomolov, Fedor Alekseivich 4 Kishimoto, Takashi 4 Kolpakov-Miroshnichenko, I. Ya. 4 Kulikov, Viktor Stepanovich 4 Manin, Yuri Ivanovich 4 Nikulin, Vyacheslav Valentinovich 4 Reid, Miles 3 Orlov, Dmitri O. 3 Shafarevich, Igor’ Rostislavovich 2 Catanese, Fabrizio M. E. 2 Kang, Ming-Chang 2 Kuznetsov, Aleksandr Gennad’evich 2 Markushevich, Dimitri Genrikhovich 2 McKernan, James 2 Pukhlikov, Aleksandr Valentinovich 1 Andreev, K. K. 1 Artamonov, Vyacheslav Aleksandrovich 1 Arzhantsev, Ivan Vladimirovich 1 Arzhantseva, Goulnara N. 1 Atabekyan, Varuzhan S. 1 Balaba, Irina Nikolaevna 1 Bezverkhniĭ, N. V. 1 Birkar, Caucher 1 Bukhshtaber, Viktor Matveevich 1 Chu, Huah 1 Chubarikov, Vladimir Nikolaevich 1 Chubarov, Igor A. 1 Ciliberto, Ciro 1 Deryabina, G. S. 1 Déserti, Julie 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Flenner, Hubert 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Guba, Victor S. 1 Guterman, Alexander Èmilevich 1 Hacking, Paul 1 Hu, Shou-Jen 1 Ishii, Shihoko 1 Iskovskikh, Vasiliĭ Alekseevich 1 Kanunnikov, Andrei L. 1 Kharlamov, Viatcheslav M. 1 Klyachko, Anton Aleksandrovich 1 Kostrikin, Alekseĭ Ivanovich 1 Kulikova, O. V. 1 Kuz’min, Leonid Viktorovich 1 Markova, Olga V. 1 Mikaelyan, V. H. 1 Mikhaĭlovskiĭ, K. V. 1 Mikhalëv, Aleksandr Vasil’evich 1 Milenteva, Maria V. 1 Minasyan, A. È. 1 Nemirovskiĭ, Stefan Yur’evich 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Park, Jihun 1 Piontkovskij, D. I. 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Shirshova, Elena Evgen’evna 1 Teicher, Mina 1 Tikhomirov, Alexander Sergeevich 1 Timashev, Dmitri A. 1 Tyurin, Andreĭ Nikolaevich 1 Vdovina, Alina A. 1 Verëvkin, A. B. 1 Zaĭtsev, Mikhail Vladimirovich 1 Zarkhin, Yuriĭ Gennad’evich all top 5 Serials 10 Journal of Mathematical Sciences (New York) 10 Sbornik: Mathematics 9 Russian Mathematical Surveys 8 Izvestiya: Mathematics 4 Mathematical Notes 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Algebra 2 Moscow University Mathematics Bulletin 2 American Journal of Mathematics 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 Algebraic Geometry 2 European Journal of Mathematics 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 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Algebra i Analiz 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 Oberwolfach Reports 1 MSJ Memoirs 1 Japanese Journal of Mathematics. 3rd Series 1 Springer Proceedings in Mathematics & Statistics 1 Lektsionnye Kursy NOTs 1 EMS Surveys in Mathematical Sciences 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 109 Algebraic geometry (14-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 4 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 92 Publications have been cited 708 times in 358 Documents Cited by ▼ Year ▼ Fano varieties. Zbl 0912.14013Iskovskikh, V. A.; Prokhorov, Yu. G. 91 1999 Towards the second main theorem on complements. Zbl 1159.14020Prokhorov, Yu. G.; Shokurov, V. V. 42 2009 Simple finite subgroups of the Cremona group of rank 3. Zbl 1257.14011Prokhorov, Yuri 29 2012 Smoothable del Pezzo surfaces with quotient singularities. Zbl 1194.14054Hacking, Paul; Prokhorov, Yuri 29 2010 Jordan property for groups of birational selfmaps. Zbl 1314.14022Prokhorov, Yuri; Shramov, Constantin 23 2014 Jordan property for Cremona groups. Zbl 1343.14010Prokhorov, Yuri; Shramov, Constantin 20 2016 On \(\mathbb Q\)-conic bundles. Zbl 1151.14029Mori, Shigefumi; Prokhorov, Yuri 20 2008 Noether’s problem for groups of order 32. Zbl 1154.14011Chu, Huah; Hu, Shou-Jen; Kang, Ming-Chang; Prokhorov, Y. G. 19 2008 Lectures on complements on log surfaces. Zbl 1037.14003Prokhorov, Yu. G. 17 2001 Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. 17 2018 Threefold thresholds. Zbl 1060.14022McKernan, James; Prokhorov, Yuri 16 2004 \(\mathbb G_{\text a}\)-actions on affine cones. Zbl 1297.14061Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 15 2013 Group actions on affine cones. Zbl 1257.14039Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 15 2011 Blow-ups of canonical singularities. Zbl 1003.14005Prokhorov, Yu. G. 14 2000 Unipotent group actions on del Pezzo cones. Zbl 1418.14016Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 14 2014 On the Zariski decomposition problem. Zbl 1092.14024Prokhorov, Yu. G. 14 2003 The degree of Fano threefolds with canonical Gorenstein singularities. Zbl 1081.14058Prokhorov, Yu. G. 13 2005 On \(G\)-Fano threefolds. Zbl 1331.14019Prokhorov, Yu G. 12 2015 On the existence of complements of the canonical divisor for Mori conic bundles. Zbl 0921.14025Prokhorov, Yu. G. 11 1997 Fields of invariants of finite linear groups. Zbl 1204.14007Prokhorov, Yuri G. 11 2010 Jordan constant for Cremona group of rank 3. Zbl 1411.14018Prokhorov, Yuri; Shramov, Constantin 11 2017 \(\rho\)-elementary subgroups of the Cremona group of rank 3. Zbl 1221.14015Prokhorov, Yuri 10 2011 Exceptional quotient singularities. Zbl 0958.14003Markushevich, D.; Prokhorov, Yu. G. 9 1999 Affine cones over Fano threefolds and additive group actions. Zbl 1308.14066Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 9 2014 Finite groups of birational selfmaps of threefolds. Zbl 1423.14094Prokhorov, Yuri; Shramov, Constantin 9 2018 On \(\mathbb{Q}\)-Fano \(3\)-folds of Fano index 2. Zbl 1372.14033Prokhorov, Yuri; Reid, Miles 9 2016 \(G\)-Fano threefolds. I. Zbl 1291.14024Prokhorov, Yuri 8 2013 Examples of cylindrical Fano fourfolds. Zbl 1375.14206Prokhorov, Yuri; Zaidenberg, Mikhail 8 2016 \(p\)-subgroups in the space Cremona group. Zbl 1423.14099Prokhorov, Yuri; Shramov, Constantin 8 2018 On the number of singular points of terminal factorial Fano threefolds. Zbl 1391.14082Prokhorov, Yu. G. 8 2017 \(\mathbb Q\)-Fano threefolds of large Fano index. I. Zbl 1218.14031Prokhorov, Yuri 7 2010 Multiple fibers of del Pezzo fibrations. Zbl 1312.14048Mori, Shigefumi; Prokhorov, Yuri 6 2009 Rationality of three-dimensional quotients by monomial actions. Zbl 1219.14017Kang, Ming-chang; Prokhorov, Yuri G. 6 2010 Automorphism groups of Fano manifolds. Zbl 0707.14037Prokhorov, Yu. G. 6 1990 On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040Mori, Shigefumi; Prokhorov, Yuri 6 2009 Threefold extremal contractions of type (IA). Zbl 1230.14017Mori, Shigefumi; Prokhorov, Yuri 6 2011 \(\mathbb{Q}\)-Fano threefolds of index 7. Zbl 1360.14111Prokhorov, Yuri G. 6 2016 Rational surfaces. (Рациональные поверхности.) Zbl 1391.14002Prokhorov, Yu. G. 6 2015 New examples of cylindrical Fano fourfolds. Zbl 1396.14062Prokhorov, Yuri; Zaidenberg, Mikhail 6 2017 The rationality problem for conic bundles. Zbl 1400.14040Prokhorov, Yuriĭ G. 5 2018 The first main theorem on complements: From global to local. Zbl 1068.14018Prokhorov, Yu. G.; Shokurov, V. V. 5 2001 Singular Fano threefolds of genus 12. Zbl 1372.14032Prokhorov, Yuri G. 5 2016 Fano threefolds of genus 12 and compactifications of \(\mathbb{C}^ 3\). Zbl 0790.14038Prokhorov, Yu. G. 4 1991 On algebraic threefolds whose hyperplane sections are Enriques surfaces. Zbl 0868.14020Prokhorov, Yu. G. 4 1995 Fano threefolds of large Fano index and large degree. Zbl 1279.14051Prokhorov, Yu G. 4 2013 On stable conjugacy of finite subgroups of the plane Cremona group. I. Zbl 1286.14016Bogomolov, Fedor; Prokhorov, Yuri 4 2013 2-elementary subgroups of the space Cremona group. Zbl 1327.14070Prokhorov, Yuri 4 2014 On exotic Fano varieties. Zbl 0732.14020Prokhorov, Yu. G. 4 1990 Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\). Zbl 1423.14244Prokhorov, Yuri; Zaidenberg, Mikhail 4 2018 On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011Mori, Shigefumi; Prokhorov, Yuri 4 2008 The degree of \( \mathbb Q\)-Fano threefolds. Zbl 1139.14033Prokhorov, Yu G. 4 2007 On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point. Zbl 0911.14002Prokhorov, Yuri G. 3 1997 \(G\)-Fano threefolds. II. Zbl 1291.14025Prokhorov, Yuri 3 2013 3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030Mori, Shigefumi; Prokhorov, Yuri 3 2014 A note on degenerations of del Pezzo surfaces. (Une remarque sur dégénérescences de surfaces de del Pezzo.) Zbl 1330.14063Prokhorov, Yuri 3 2015 A remark on Fano threefolds with canonical Gorenstein singularities. Zbl 1062.14051Prokhorov, Yuri G. 3 2004 On semistable Mori contractions. Zbl 1075.14014Prokhorov, Yu. G. 3 2004 Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043Mori, S.; Prokhorov, Yu. G. 3 2019 Threefold extremal contractions of type (IIA). I. Zbl 1359.14037Mori, S.; Prokhorov, Yu. G. 3 2016 Mori conic bundles with a reduced log-terminal boundary. Zbl 0942.14020Prokhorov, Yu. G. 2 1999 On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point and a nonsingular base surface. Zbl 0948.14012Prokhorov, Yu. G. 2 1999 On stable conjugacy of finite subgroups of the plane Cremona group. II. Zbl 1386.14067Prokhorov, Yuri 2 2015 On log canonical thresholds. Zbl 1070.14505Prokhorov, Yu. G. 2 2001 Sparseness of exceptional quotient singularities. Zbl 1060.14521Prokhorov, Yu. G. 2 2000 On a conjecture of Shokurov: Characterization of toric varieties. Zbl 1078.14515Prokhorov, Yuri G. 2 2001 Gap conjecture for \(3\)-dimensional canonical thresholds. Zbl 1185.14004Prokhorov, Yuri 2 2008 Automorphism groups of Inoue and Kodaira surfaces. Zbl 1451.14038Prokhorov, Yuri; Shramov, Constantin 2 2020 On Fano-Enriques threefolds. Zbl 1174.14035Prokhorov, Yu. G. 2 2007 On log canonical thresholds. II. Zbl 1053.14013Prokhorov, Yu. G. 2 2002 Hypersurface exceptional singularities. Zbl 1068.14004Ishii, Shihoko; Prokhorov, Yuri 2 2001 Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces. Zbl 1038.14017Prokhorov, Yu. G. 2 2003 Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds. Zbl 1456.14020Prokhorov, Yuri G.; Shramov, Constantin A. 2 2020 Automorphism groups of Moishezon threefolds. Zbl 1433.14039Prokhorov, Yu. G.; Shramov, K. A. 2 2019 Boundedness of nonbirational extremal contractions. Zbl 1060.14510Prokhorov, Yuri G. 1 2000 Rationality of fields of invariants of some four-dimensional linear groups and an equivariant construction connected with the Segre cubic. Zbl 0759.14038Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. 1 1991 Construction of the rationality of the fields of invariants of some finite four-dimensional linear groups connected with Fano varieties. Zbl 0765.14023Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. 1 1992 The existence of a smooth divisor on Fano 4-folds of index 2. Zbl 0848.14018Prokhorov, Yu. G. 1 1994 Rationality of fields of invariants of some four-dimensional linear groups, and an equivariant construction related to the Segre cubic. Zbl 0774.14043Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. 1 1993 Compactifications of \(\mathbb{C}^ 4\) of index 3. Zbl 0816.32021Prokhorov, Yuri G. 1 1994 Klein’s group defines an exceptional singularity of dimension 3. Zbl 0947.14002Markushevich, D. G.; Prokhorov, Yu. G. 1 1999 On the existence of good divisors on Fano manifolds of coindex 3. II. Zbl 0931.14024Prokhorov, Yu. G. 1 1997 On birational involutions of \(\mathbb P^3\). Zbl 1282.14025Prokhorov, Yu. G. 1 2013 Complements on conic fibrations. I. Zbl 1045.14018Prokhorov, Yu. G. 1 2001 A remark on the resolution of three-dimensional terminal singularities. Zbl 1070.14017Prokhorov, Yu. G. 1 2002 On semistable Mori conic bundles. Zbl 1185.14013Prokhorov, Yu. G. 1 2005 Threefold extremal contractions of type (IIA). Zbl 1418.14005Mori, Shigefumi; Prokhorov, Yuri 1 2018 Del Pezzo surfaces with infinite automorphism groups. Zbl 1456.14051Cheltsov, Ivan; Prokhorov, Yuri 1 2021 Bounded automorphism groups of compact complex surfaces. Zbl 1455.14083Prokhorov, Yu. G.; Shramov, C. A. 1 2020 Rationality of Fano threefolds with terminal Gorenstein singularities. I. Zbl 1471.14032Prokhorov, Yuri G. 1 2019 \(E1\)-blowing ups of terminal singularities. Zbl 1038.14005Prokhorov, Yu. G. 1 2003 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 1411.14046Kuznetsov, Alexander; Prokhorov, Yuri 1 2018 General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 07349633Mori, Shigefumi; Prokhorov, Yuri G. 1 2021 Del Pezzo surfaces with infinite automorphism groups. Zbl 1456.14051Cheltsov, Ivan; Prokhorov, Yuri 1 2021 General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Zbl 07349633Mori, Shigefumi; Prokhorov, Yuri G. 1 2021 Automorphism groups of Inoue and Kodaira surfaces. Zbl 1451.14038Prokhorov, Yuri; Shramov, Constantin 2 2020 Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds. Zbl 1456.14020Prokhorov, Yuri G.; Shramov, Constantin A. 2 2020 Bounded automorphism groups of compact complex surfaces. Zbl 1455.14083Prokhorov, Yu. G.; Shramov, C. A. 1 2020 Threefold extremal curve germs with one non-Gorenstein point. Zbl 1442.14043Mori, S.; Prokhorov, Yu. G. 3 2019 Automorphism groups of Moishezon threefolds. Zbl 1433.14039Prokhorov, Yu. G.; Shramov, K. A. 2 2019 Rationality of Fano threefolds with terminal Gorenstein singularities. I. Zbl 1471.14032Prokhorov, Yuri G. 1 2019 Hilbert schemes of lines and conics and automorphism groups of Fano threefolds. Zbl 1406.14031Kuznetsov, Alexander G.; Prokhorov, Yuri G.; Shramov, Constantin A. 17 2018 Finite groups of birational selfmaps of threefolds. Zbl 1423.14094Prokhorov, Yuri; Shramov, Constantin 9 2018 \(p\)-subgroups in the space Cremona group. Zbl 1423.14099Prokhorov, Yuri; Shramov, Constantin 8 2018 The rationality problem for conic bundles. Zbl 1400.14040Prokhorov, Yuriĭ G. 5 2018 Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\). Zbl 1423.14244Prokhorov, Yuri; Zaidenberg, Mikhail 4 2018 Threefold extremal contractions of type (IIA). Zbl 1418.14005Mori, Shigefumi; Prokhorov, Yuri 1 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 1411.14046Kuznetsov, Alexander; Prokhorov, Yuri 1 2018 Jordan constant for Cremona group of rank 3. Zbl 1411.14018Prokhorov, Yuri; Shramov, Constantin 11 2017 On the number of singular points of terminal factorial Fano threefolds. Zbl 1391.14082Prokhorov, Yu. G. 8 2017 New examples of cylindrical Fano fourfolds. Zbl 1396.14062Prokhorov, Yuri; Zaidenberg, Mikhail 6 2017 Jordan property for Cremona groups. Zbl 1343.14010Prokhorov, Yuri; Shramov, Constantin 20 2016 On \(\mathbb{Q}\)-Fano \(3\)-folds of Fano index 2. Zbl 1372.14033Prokhorov, Yuri; Reid, Miles 9 2016 Examples of cylindrical Fano fourfolds. Zbl 1375.14206Prokhorov, Yuri; Zaidenberg, Mikhail 8 2016 \(\mathbb{Q}\)-Fano threefolds of index 7. Zbl 1360.14111Prokhorov, Yuri G. 6 2016 Singular Fano threefolds of genus 12. Zbl 1372.14032Prokhorov, Yuri G. 5 2016 Threefold extremal contractions of type (IIA). I. Zbl 1359.14037Mori, S.; Prokhorov, Yu. G. 3 2016 On \(G\)-Fano threefolds. Zbl 1331.14019Prokhorov, Yu G. 12 2015 Rational surfaces. (Рациональные поверхности.) Zbl 1391.14002Prokhorov, Yu. G. 6 2015 A note on degenerations of del Pezzo surfaces. (Une remarque sur dégénérescences de surfaces de del Pezzo.) Zbl 1330.14063Prokhorov, Yuri 3 2015 On stable conjugacy of finite subgroups of the plane Cremona group. II. Zbl 1386.14067Prokhorov, Yuri 2 2015 Jordan property for groups of birational selfmaps. Zbl 1314.14022Prokhorov, Yuri; Shramov, Constantin 23 2014 Unipotent group actions on del Pezzo cones. Zbl 1418.14016Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 14 2014 Affine cones over Fano threefolds and additive group actions. Zbl 1308.14066Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 9 2014 2-elementary subgroups of the space Cremona group. Zbl 1327.14070Prokhorov, Yuri 4 2014 3-fold extremal contractions of types (IC) and (IIB). Zbl 1296.14030Mori, Shigefumi; Prokhorov, Yuri 3 2014 \(\mathbb G_{\text a}\)-actions on affine cones. Zbl 1297.14061Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 15 2013 \(G\)-Fano threefolds. I. Zbl 1291.14024Prokhorov, Yuri 8 2013 Fano threefolds of large Fano index and large degree. Zbl 1279.14051Prokhorov, Yu G. 4 2013 On stable conjugacy of finite subgroups of the plane Cremona group. I. Zbl 1286.14016Bogomolov, Fedor; Prokhorov, Yuri 4 2013 \(G\)-Fano threefolds. II. Zbl 1291.14025Prokhorov, Yuri 3 2013 On birational involutions of \(\mathbb P^3\). Zbl 1282.14025Prokhorov, Yu. G. 1 2013 Simple finite subgroups of the Cremona group of rank 3. Zbl 1257.14011Prokhorov, Yuri 29 2012 Group actions on affine cones. Zbl 1257.14039Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail 15 2011 \(\rho\)-elementary subgroups of the Cremona group of rank 3. Zbl 1221.14015Prokhorov, Yuri 10 2011 Threefold extremal contractions of type (IA). Zbl 1230.14017Mori, Shigefumi; Prokhorov, Yuri 6 2011 Smoothable del Pezzo surfaces with quotient singularities. Zbl 1194.14054Hacking, Paul; Prokhorov, Yuri 29 2010 Fields of invariants of finite linear groups. Zbl 1204.14007Prokhorov, Yuri G. 11 2010 \(\mathbb Q\)-Fano threefolds of large Fano index. I. Zbl 1218.14031Prokhorov, Yuri 7 2010 Rationality of three-dimensional quotients by monomial actions. Zbl 1219.14017Kang, Ming-chang; Prokhorov, Yuri G. 6 2010 Towards the second main theorem on complements. Zbl 1159.14020Prokhorov, Yu. G.; Shokurov, V. V. 42 2009 Multiple fibers of del Pezzo fibrations. Zbl 1312.14048Mori, Shigefumi; Prokhorov, Yuri 6 2009 On \(\mathbb Q\)-conic bundles. III. Zbl 1182.14040Mori, Shigefumi; Prokhorov, Yuri 6 2009 On \(\mathbb Q\)-conic bundles. Zbl 1151.14029Mori, Shigefumi; Prokhorov, Yuri 20 2008 Noether’s problem for groups of order 32. Zbl 1154.14011Chu, Huah; Hu, Shou-Jen; Kang, Ming-Chang; Prokhorov, Y. G. 19 2008 On \(\mathbb Q\)-conic bundles. II. Zbl 1162.14011Mori, Shigefumi; Prokhorov, Yuri 4 2008 Gap conjecture for \(3\)-dimensional canonical thresholds. Zbl 1185.14004Prokhorov, Yuri 2 2008 The degree of \( \mathbb Q\)-Fano threefolds. Zbl 1139.14033Prokhorov, Yu G. 4 2007 On Fano-Enriques threefolds. Zbl 1174.14035Prokhorov, Yu. G. 2 2007 The degree of Fano threefolds with canonical Gorenstein singularities. Zbl 1081.14058Prokhorov, Yu. G. 13 2005 On semistable Mori conic bundles. Zbl 1185.14013Prokhorov, Yu. G. 1 2005 Threefold thresholds. Zbl 1060.14022McKernan, James; Prokhorov, Yuri 16 2004 A remark on Fano threefolds with canonical Gorenstein singularities. Zbl 1062.14051Prokhorov, Yuri G. 3 2004 On semistable Mori contractions. Zbl 1075.14014Prokhorov, Yu. G. 3 2004 On the Zariski decomposition problem. Zbl 1092.14024Prokhorov, Yu. G. 14 2003 Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces. Zbl 1038.14017Prokhorov, Yu. G. 2 2003 \(E1\)-blowing ups of terminal singularities. Zbl 1038.14005Prokhorov, Yu. G. 1 2003 On log canonical thresholds. II. Zbl 1053.14013Prokhorov, Yu. G. 2 2002 A remark on the resolution of three-dimensional terminal singularities. Zbl 1070.14017Prokhorov, Yu. G. 1 2002 Lectures on complements on log surfaces. Zbl 1037.14003Prokhorov, Yu. G. 17 2001 The first main theorem on complements: From global to local. Zbl 1068.14018Prokhorov, Yu. G.; Shokurov, V. V. 5 2001 On log canonical thresholds. Zbl 1070.14505Prokhorov, Yu. G. 2 2001 On a conjecture of Shokurov: Characterization of toric varieties. Zbl 1078.14515Prokhorov, Yuri G. 2 2001 Hypersurface exceptional singularities. Zbl 1068.14004Ishii, Shihoko; Prokhorov, Yuri 2 2001 Complements on conic fibrations. I. Zbl 1045.14018Prokhorov, Yu. G. 1 2001 Blow-ups of canonical singularities. Zbl 1003.14005Prokhorov, Yu. G. 14 2000 Sparseness of exceptional quotient singularities. Zbl 1060.14521Prokhorov, Yu. G. 2 2000 Boundedness of nonbirational extremal contractions. Zbl 1060.14510Prokhorov, Yuri G. 1 2000 Fano varieties. Zbl 0912.14013Iskovskikh, V. A.; Prokhorov, Yu. G. 91 1999 Exceptional quotient singularities. Zbl 0958.14003Markushevich, D.; Prokhorov, Yu. G. 9 1999 Mori conic bundles with a reduced log-terminal boundary. Zbl 0942.14020Prokhorov, Yu. G. 2 1999 On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point and a nonsingular base surface. Zbl 0948.14012Prokhorov, Yu. G. 2 1999 Klein’s group defines an exceptional singularity of dimension 3. Zbl 0947.14002Markushevich, D. G.; Prokhorov, Yu. G. 1 1999 On the existence of complements of the canonical divisor for Mori conic bundles. Zbl 0921.14025Prokhorov, Yu. G. 11 1997 On extremal contractions from threefolds to surfaces: The case of one non-Gorenstein point. Zbl 0911.14002Prokhorov, Yuri G. 3 1997 On the existence of good divisors on Fano manifolds of coindex 3. II. Zbl 0931.14024Prokhorov, Yu. G. 1 1997 On algebraic threefolds whose hyperplane sections are Enriques surfaces. Zbl 0868.14020Prokhorov, Yu. G. 4 1995 The existence of a smooth divisor on Fano 4-folds of index 2. Zbl 0848.14018Prokhorov, Yu. G. 1 1994 Compactifications of \(\mathbb{C}^ 4\) of index 3. Zbl 0816.32021Prokhorov, Yuri G. 1 1994 Rationality of fields of invariants of some four-dimensional linear groups, and an equivariant construction related to the Segre cubic. Zbl 0774.14043Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. 1 1993 Construction of the rationality of the fields of invariants of some finite four-dimensional linear groups connected with Fano varieties. Zbl 0765.14023Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. 1 1992 Fano threefolds of genus 12 and compactifications of \(\mathbb{C}^ 3\). Zbl 0790.14038Prokhorov, Yu. G. 4 1991 Rationality of fields of invariants of some four-dimensional linear groups and an equivariant construction connected with the Segre cubic. Zbl 0759.14038Kolpakov-Miroshnichenko, I. Ya.; Prokhorov, Yu. G. 1 1991 Automorphism groups of Fano manifolds. Zbl 0707.14037Prokhorov, Yu. G. 6 1990 On exotic Fano varieties. Zbl 0732.14020Prokhorov, Yu. G. 4 1990 all cited Publications top 5 cited Publications all top 5 Cited by 297 Authors 39 Prokhorov, Yuriĭ Gennad’evich 24 Cheltsov, Ivan Anatol’evich 22 Shramov, Konstantin Aleksandrovich 13 Kang, Ming-Chang 11 Park, Jihun 9 Hoshi, Akinari 9 Won, Joonyeong 8 Birkar, Caucher 8 Mori, Shigefumi 8 Przhiyalkovskiĭ, Viktor Vladimirovich 7 Casnati, Gianfranco 7 Faenzi, Daniele 7 Gongyo, Yoshinori 6 Zaidenberg, Mikhail G. 5 Cascini, Paolo 5 Choi, Sung Rak 5 Dubouloz, Adrien 5 Kishimoto, Takashi 5 Peternell, Thomas Martin 5 Xu, Chenyang 5 Yamasaki, Aiichi 4 Arzhantsev, Ivan Vladimirovich 4 Casagrande, Cinzia 4 Hacon, Christopher Derek 4 Jahnke, Priska 4 Kaloghiros, Anne-Sophie 4 Karzhemanov, Ilya 4 Kasprzyk, Alexander M. 4 Lehmann, Brian 4 Malaspina, Francesco 4 Zarkhin, Yuriĭ Gennad’evich 3 Avilov, Artëm Alekseevich 3 Chu, Huah 3 Fujino, Osamu 3 Han, Jingjun 3 Jiang, Chen 3 Kim, In-Kyun 3 Kitayama, Hidetaka 3 Kollár, János 3 Lazić, Vladimir 3 Lee, Namhoon 3 Li, Chi 3 Merkur’ev, Aleksandr Sergeevich 3 Moravec, Primož 3 Park, Jinhyung 3 Radloff, Ivo 3 Shokurov, Vyacheslav Vladimirovich 3 Svaldi, Roberto 3 Takagi, Shunsuke 3 Tanimoto, Sho 3 Zhang, De-Qi 2 Abban, Hamid 2 Alexeev, Valery A. 2 Bandman, Tatiana M. 2 Beauville, Arnaud 2 Belousov, Grigory Nikolaevich 2 Brambilla, Maria Chiara 2 Brown, Gavin Dennis 2 Chen, Meng 2 Chen, Yifei 2 Coates, Tom 2 Di Cerbo, Gabriele 2 Ducat, Tom 2 Favre, Charles 2 Filipazzi, Stefano 2 Floris, Enrica 2 Fu, Baohua 2 Fujita, Kento 2 Gallardo, Patricio 2 Genc, Ozhan 2 Hacking, Paul 2 Hu, Shou-Jen 2 Iliev, Atanas Iliev 2 Ishii, Shihoko 2 Jezernik, Urban 2 Jonsson, Mattias 2 Kanemitsu, Akihiro 2 Knutsen, Andreas Leopold 2 Kunyavskiĭ, Boris Èmmanuilovich 2 Kuznetsov, Aleksandr Gennad’evich 2 Liu, Yuchen 2 Manivel, Laurent 2 McKernan, James 2 Montero, Pedro J. 2 Moraga Saez, Joaquín Leonardo 2 Mundet i Riera, Ignasi 2 Muñoz, Roberto 2 Nill, Benjamin 2 Perepechko, Alexander 2 Popov, Vladimir Leonidovich 2 Prince, Thomas M. 2 Reichstein, Zinovy B. 2 Rubinstein, Yanir A. 2 Sano, Taro 2 Schreieder, Stefan 2 Schwede, Karl E. 2 Spotti, Cristiano 2 Stepanov Dmitry Anatol’evich 2 Süss, Hendrik 2 Tanaka, Hiromu ...and 197 more Authors all top 5 Cited in 93 Serials 20 Journal of Algebra 16 Mathematische Zeitschrift 15 Advances in Mathematics 14 Journal of Algebraic Geometry 14 European Journal of Mathematics 13 Mathematische Annalen 12 International Journal of Mathematics 11 Mathematical Notes 10 Izvestiya: Mathematics 9 Annales de l’Institut Fourier 9 Transformation Groups 9 Proceedings of the Steklov Institute of Mathematics 8 Compositio Mathematica 8 Geometriae Dedicata 8 Manuscripta Mathematica 8 Transactions of the American Mathematical Society 7 Journal of Pure and Applied Algebra 7 Journal of Mathematical Sciences (New York) 6 Communications in Algebra 6 Sbornik: Mathematics 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Geometry & Topology 4 Acta Mathematica Academiae Scientiarum Hungaricae 4 Duke Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Bulletin of the Korean Mathematical Society 4 The Journal of Geometric Analysis 4 Journal of the European Mathematical Society (JEMS) 4 Kyoto Journal of Mathematics 3 Russian Mathematical Surveys 3 Journal of the Mathematical Society of Japan 3 Michigan Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Selecta Mathematica. New Series 3 Revista Matemática Complutense 3 Annals of Mathematics. Second Series 3 Central European Journal of Mathematics 3 Science China. Mathematics 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Documenta Mathematica 2 Doklady Mathematics 2 Taiwanese Journal of Mathematics 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Forum of Mathematics, Sigma 2 EMS Surveys in Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Kodai Mathematical Journal 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 The Electronic Journal of Combinatorics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Algebra & Number Theory 1 Journal of Topology 1 Japanese Journal of Mathematics. 3rd Series 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Transactions of the American Mathematical Society. Series B 1 Annales Henri Lebesgue all top 5 Cited in 21 Fields 331 Algebraic geometry (14-XX) 40 Several complex variables and analytic spaces (32-XX) 33 Commutative algebra (13-XX) 28 Group theory and generalizations (20-XX) 20 Field theory and polynomials (12-XX) 19 Differential geometry (53-XX) 12 Number theory (11-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.