Yuri Prokhorov

Books⁵

• Book Прохоров Ю. Г. Рациональные поверхности Т. 24. МИАН, 2015.
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  Book Cheltsov I., Ciliberto C., McKernan J., Prokhorov Y., Zaidenberg M. Automorphisms in Birational and Affine Geometry. Levico Terme Vol. 79: Springer Proceedings in Mathematics & Statistics. L., NY, Dordrecht, Heidelberg : Springer, 2014.
• 
  Book Аржанцев И. В., Батырев В., Бунина Е., Голод Е., Гутерман А., Зайцев М., Зобнин А. И., Клячко А., Марков В., Ольшанский А., Поршнев Е., Прохоров Ю. Г. Студенческие олимпиады по алгебре на мехмате МГУ. М. : МЦНМО, 2012.
• Book Прохоров Ю. Г. Особенности алгебраических многообразий. М. : МЦНМО, 2009.
• Book Прохоров Ю. Г. Эллиптические кривые и криптография. Семестр 1 Ч. 1. М. : Издательство центра прикладных исследований при механико-математическом факультете МГУ, 2007.

Articles and book chapters⁵⁸

• Article Blanc J., Cheltsov I., Duncan A., Prokhorov Y. Birational self-maps of threefolds of (un)-bounded genus or gonality // American Journal of Mathematics. 2022. Vol. 144. No. 2. P. 575-597. doi
• Article Prokhorov Y. Conic bundle structures on Q-Fano threefolds // ELECTRONIC RESEARCH ARCHIVE. 2022. Vol. 30. No. 5. P. 1881-1897. doi
• Article Prokhorov Y., Zaidenberg M. Fano–Mukai fourfolds of genus 10 and their automorphism groups // European Journal of Mathematics. 2022. Vol. 8. No. 2. P. 561-572. doi
• Article Kuznetsov A., Prokhorov Y. Rationality over nonclosed fields of Fano threefolds with higher geometric Picard rank // Journal of the Institute of Mathematics of Jussieu. 2022. P. 1-41. doi
• Article Cheltsov I., Prokhorov Y. Del Pezzo surfaces with infinite automorphism groups // Algebraic Geometry. 2021. Vol. 8. No. 3. P. 319-357. doi
• Article Prokhorov Y. Quasi-Simple Finite Groups of Essential Dimension 3 // Journal of Mathematical Sciences. 2021. Vol. 257. P. 876-882. doi
• Article Shramov K., Prokhorov Y. Automorphism Groups of Compact Complex Surfaces // International Mathematics Research Notices. 2020. Vol. rnz124. P. 1-31. doi
• Article Prokhorov Y., Shramov K. Automorphism groups of Inoue and Kodaira surfaces // ASIAN JOURNAL OF MATHEMATICS. 2020. Vol. 24. No. 2. P. 355-368. doi
• Article Прохоров Ю. Г., Шрамов К. А. Конечные группы бимероморфных автоморфизмов унилинейчатых трехмерных кэлеровых многообразий // Известия РАН. Серия математическая. 2020. Т. 84. № 5. С. 169-196. doi
• Article Prokhorov Y. Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families // Kyoto Journal of Mathematics. 2019. Vol. 59. No. 4. P. 1041-1073. doi
• Article Прохоров Ю. Г., Шрамов К. А. Группы автоморфизмов трехмерных мойшезоновых многообразий // Математические заметки. 2019. Т. 106. № 4. С. 636-640. doi
• Article Прохоров Ю. Г. Квазипростые конечные группы существенной размерности 3 // Фундаментальная и прикладная математика. 2019. Т. 22. № 4. С. 189-199.
• Article Прохоров Ю. Г. Рациональность трехмерных многообразий Фано с терминальными горенштейновыми особенностями // Труды Математического института им. В.А. Стеклова РАН. 2019. Т. 307. С. 230-253. doi
• Article Прохоров Ю. Г., Mori S. Трехмерные экстремальные окрестности кривой с одной негоренштейновой точкой // Известия РАН. Серия математическая. 2019. Т. 83. № 3. С. 158-212. doi
• Article Prokhorov Y., Zaidenberg M. Fano-Mukai fourfolds of genus 10 as compactifications of C4 // European Journal of Mathematics. 2018. Vol. 4. No. 3. P. 1197-1263. doi
• Article Prokhorov Y., Shramov K. Finite groups of birational selfmaps of threefolds // Mathematical Research Letters. 2018. Vol. 25. No. 3. P. 957-972. doi
• Article Prokhorov Y., Kuznetsov A., Shramov K. Hilbert schemes of lines and conics and automorphism groups of Fano threefolds // Japanese Journal of Mathematics. 2018. Vol. 13. No. 1. P. 109-185.
• Article Kuznetsov A., Prokhorov Y. Prime Fano threefolds of genus 12 with a Gm-action and their automorphisms // Épijournal de Géométrie Algébrique. 2018. Vol. 2. No. 3. P. 1-14.
• Chapter Prokhorov Y., Mori S. Threefold extremal contractions of type (IIA), II, in: Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin. Oxford : Oxford University Press, 2018. doi P. 623-652. doi
• Article Prokhorov Y., Shramov K. p‐subgroups in the space Cremona group // Mathematische Nachrichten. 2018. Vol. 291. No. 8-9. P. 1374-1389. doi
• Article Прохоров Ю. Г. Проблема рациональности для расслоений на коники // Успехи математических наук. 2018. Т. 73. № 3. С. 3-88. doi
• Article Prokhorov Y. A simple proof of the non-rationality of a general quartic double solid // Bulletin of the Korean Mathematical Society. 2017. Vol. 54. No. 5. P. 1619-1625. doi
• Chapter Prokhorov Y., Zaidenberg M. New examples of cylindrical Fano fourfolds, in: Advanced Studies in Pure Mathematics Vol. 75: Algebraic Varieties and Automorphism Groups. Tokyo : The Mathematical Society of Japan, 2017. P. 443-463.
• Article Prokhorov Y., Zaidenberg M. Examples of cylindrical Fano fourfolds // European Journal of Mathematics. 2016. Vol. 2. No. 1. P. 262-282. doi
• Article Prokhorov Y., Shramov K. Jordan property for Cremona groups // American Journal of Mathematics. 2016. Vol. 138. No. 2. P. 403-418.
• Chapter Prokhorov Y., Reid M. On Q-Fano 3-folds of Fano index 2, in: Advanced Studies in Pure Mathematics Vol. 70: Minimal Models and Extremal Rays. Kyoto : Mathematical Society of Japan, 2016.
• Article Prokhorov Y. Singular Fano threefolds of genus 12 / Пер. с рус. // Sbornik Mathematics. 2016. Vol. 207. No. 7. P. 983-1009. doi
• Article Mori S., Prokhorov Y. Threefold extremal contractions of type (IIA). I // Izvestiya. Mathematics. 2016. Vol. 80. No. 5. P. 884-909. doi
• Article Prokhorov Y. A note on degenerations of del Pezzo surfaces // Annales de l'Institut Fourier. 2015. No. 65. P. 1-16.
• Article Prokhorov Y. On G-Fano threefolds / Пер. с рус.: Y. Prokhorov. // Izvestiya. Mathematics. 2015. Vol. 79 . No. 4. P. 795-808.
• Article Prokhorov Y. On stable conjugacy of finite subgroups of the plane Cremona group, II // Michigan Mathematical Journal. 2015. Vol. 64. No. 2. P. 293-318.
• Article Prokhorov Y. 2-elementary subgroups of the space Cremona group // Springer Proceedings in Mathematics & Statistics. 2014. Vol. 79. P. 215-229.
• Article Kishimoto T., Yuri Prokhorov, Zaidenberg M. Affine cones over Fano threefolds and additive group actions // Osaka Journal of Mathematics. 2014. Vol. 51. No. 4. P. 1093-1113.
• Article Yuri Prokhorov, Constantin Shramov. Jordan property for groups of birational selfmaps // Compositio Mathematica. 2014. Vol. 150. No. 12. P. 2054-2072. doi
• Article Mori S., Prokhorov Y. Threefold extremal contractions of types (IC) and (IIB) // Proceedings of the Edinburgh Mathematical Society. 2014. Vol. 57. No. 1. P. 231-252.
• Article Kishimoto T., Yuri Prokhorov, Zaidenberg M. Unipotent Group Actions on Del Pezzo Cones // Algebraic Geometry. 2014. Vol. 1. No. 1. P. 46-56.
• Article Prokhorov Y. “Del Pezzo fibrations”, Appendix to “Five embeddings of one simple group” by I. Cheltsov and C. Shramov // Transactions of the American Mathematical Society. 2014. Vol. 366. No. 3. P. 1289-1331.
• Article Prokhorov Y. Fano threefolds of large Fano index and large degree / Пер. с рус. // Sbornik Mathematics. 2013. Vol. 204. No. 3. P. 347-382.
• Article Prokhorov Y. G-Fano threefolds, I // Advances in Geometry. 2013. Vol. 13. No. 3. P. 389-418.
• Article Prokhorov Y. G-Fano threefolds, II // Advances in Geometry. 2013. Vol. 13. No. 3. P. 419-434. doi
• Article Kishimoto T., Yuri Prokhorov, Zaidenberg M. Ga-actions on affine cones // Transformation Groups. 2013. Vol. 18. No. 4. P. 1137-1153.
• Article Ю. Г. Прохоров O бирациональных инволюциях P^3 // Известия РАН. Серия математическая. 2013. Т. 77. № 3. С. 199-222.
• Article Bogomolov F. A., Prokhorov Y. On stable conjugacy of finite subgroups of the plane Cremona group, I // Central European Journal of Mathematics. 2013. Vol. 11. No. 12. P. 2099-2105. doi
• Article Prokhorov Y. Simple finite subgroups of the Cremona group of rank 3 // Journal of Algebraic Geometry. 2012. Vol. 21. No. 3. P. 563-600. doi
• Chapter Kishimoto T., Prokhorov Y., Zaidenberg M. Group actions on affine cones, in: CRM Proceedings & Lecture Notes Vol. 54: Affine Algebraic Geometry: The Russell Festschrift. Providence : American Mathematical Society, 2011. P. 123-163.
• Article Mori S., Prokhorov Y. Threefold extremal contractions of type IA // Kyoto Journal of Mathematics. 2011. Vol. 51. No. 2. P. 393-438.
• Chapter Yuri G Prokhorov. Fields of Invariants of Finite Linear Groups, in: Cohomological and Geometric Approaches to Rationality Problems / Сост.: Fedor Bogomolov, Y. Tschinkel. Boston : Birkhäuser, 2010. P. 245-273.
• Article Yuri Prokhorov. Q-Fano threefolds of large Fano index. I // Documenta Mathematica. 2010. Vol. 15. P. 843-872.
• Article Kang M., Yuri Prokhorov. Rationality of three-dimensional quotients by monomial actions // Journal of Algebra. 2010. Vol. 324. No. 9. P. 2166-2197.
• Article Hacking P., Prokhorov Y. Smoothable del Pezzo surfaces with quotient singularities // Compositio Mathematica. 2010. Vol. 146. No. 1. P. 169-192.
• Chapter Prokhorov Y. p-elementary subgroups of the Cremona group of rank 3, in: Classification of Algebraic Varieties. Zürich : European Mathematical Society Publishing house, 2010. P. 327-338.
• Article Mori S., Prokhorov Y. Multiple fibers of del Pezzo fibrations // Proceedings of the Steklov Institute of Mathematics. 2009. No. 264(1). P. 131-145.
• Article Mori S., Prokhorov Y. On Q-conic bundles, III // Publications of the Research Institute for Mathematical Sciences. 2009. No. 45(3). P. 787-810.
• Article Y. Prokhorov, Shokurov V. Towards the second main theorem on complements // Journal of Algebraic Geometry. 2009. Vol. 18. No. 1. P. 151-199.
• Chapter Прохоров Ю. Г. Многообразия Q-Фано большой степени // В кн.: Совр. пробл. мат. мех. Т. 4. М. : Моск. гос. унив. им. М. В. Ломоносова, мех-мат. фак., 2009. С. 105-115.
• Article Mori S., Prokhorov Y. On Q-conic bundles // Publications of the Research Institute for Mathematical Sciences. 2008. No. 44(2). P. 315-369.
• Article Mori S., Prokhorov Y. On Q-conic bundles. II // Publications of the Research Institute for Mathematical Sciences. 2008. No. 44(3). P. 955-971.
• Article Prokhorov Y., Verevkin A. The Riemann-Roch theorem on surfaces with log-terminal singularities // Journal of Mathematical Sciences. 2007. No. 140(2). P. 200-205.

Translations¹

Working papers³⁸

• Preprint Prokhorov Y., Kuznetsov A. On higher-dimensional del Pezzo varieties / Cornell University. Series arXiv "math". 2022.
• Preprint Prokhorov Y. Conic bundle structures on Q-Fano threefolds / Cornell University. Series arXiv "math". 2021.
• Preprint Prokhorov Y., Zaidenberg M. Fano-Mukai fourfolds of genus 10 and their automorphism groups / Cornell University. Series arXiv "math". 2021.
• Preprint Shramov K., Prokhorov Y. Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds / Cornell University. Series arXiv "math". 2021.
• Preprint Prokhorov Y. Finite groups of birational transformations / Cornell University. Series arXiv "math". 2021.
• Preprint Prokhorov Y., Kuznetsov A. Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank / Cornell University. Series arXiv "math". 2021.
• Preprint Prokhorov Y., Zaidenberg M. Affine cones over Fano-Mukai fourfolds of genus 10 are flexible / Cornell University. Series arXiv "math". 2020.
• Preprint Prokhorov Y., Cheltsov I., Zaidenberg M., Park J. Cylinders in Fano varieties / Cornell University. Series arXiv "math". 2020.
• Preprint Prokhorov Y., Cheltsov I. Del Pezzo surfaces with infinite automorphism groups / Cornell University. Series arXiv "math". 2020.
• Preprint Prokhorov Y., Mori S. General elephants for threefold extremal contractions with one-dimensional fibers: exceptional case / Cornell University. Series arXiv "math". 2020.
• Preprint Prokhorov Y., Kuznetsov A. Rationality of Mukai varieties over non-closed fields / Cornell University. Series arXiv "math". 2020.
• Preprint Shramov K., Prokhorov Y. Automorphism groups of Moishezon threefolds / Cornell University. Series arXiv "math". 2019.
• Preprint Prokhorov Y., Duncan A., Cheltsov I., Blanc J. Birational self-maps of threefolds of (un)-bounded genus or gonality / Cornell University. Series arXiv "math". 2019.
• Preprint Shramov K., Prokhorov Y. Bounded automorphism groups of compact complex surfaces / Cornell University. Series arXiv "math". 2019.
• Preprint Shramov K., Prokhorov Y. Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds / Cornell University. Series arXiv "math". 2019.
• Preprint Kuznetsov A., Prokhorov Y. Rationality of Fano threefolds over non-closed fields / Cornell University. Series arXiv "math". 2019.
• Preprint Prokhorov Y. Rationality of Fano threefolds with terminal Gorenstein singularities, I / Cornell University. Series arXiv "math". 2019.
• Preprint Prokhorov Y. Rationality of ℚ-Fano threefolds of large Fano index / Cornell University. Series arXiv "math". 2019.
• Preprint Prokhorov Y., Shramov K. Automorphism groups of Inoue and Kodaira surfaces / Cornell University. Series arXiv "math". 2018.
• Preprint Prokhorov Y., Duncan A., Cheltsov I., Blanc J. Finite quasisimple groups acting on rationally connected threefolds / Cornell University. Series math "arxiv.org". 2018.
• Preprint Prokhorov Y., Mori S. Threefold extremal curve germs with one non-Gorenstein point / Cornell University. Series math "arxiv.org". 2018.
• Preprint Prokhorov Y., Shramov K. Automorphism groups of compact complex surfaces / Cornell University. Series arXiv "math". 2017.
• Preprint Prokhorov Y., Zaidenberg M. Fano-Mukai fourfolds of genus 10 as compactifications of ℂ^4 / Cornell University. Series arXiv "math". 2017.
• Preprint Prokhorov Y. Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families / Cornell University. Series arXiv "math". 2017.
• Preprint Prokhorov Y., Kuznetsov A. Prime Fano threefolds of genus 12 with a G_m-action / Cornell University. Series arXiv "math". 2017.
• Preprint Prokhorov Y. Quasi-simple finite groups of essential dimension 3 / Cornell University. Series arXiv "math". 2017.
• Preprint Prokhorov Y., Mori S. Threefold extremal contractions of type (IIA), II / Cornell University. Series arXiv "math". 2017.
• Preprint Prokhorov Y. A simple proof of the non-rationality of a general quartic double solid / Cornell University. Series arXiv "math". 2016.
• Preprint Kuznetsov A., Prokhorov Y., Shramov K. Hilbert schemes of lines and conics and automorphism groups of Fano threefolds / Cornell University. Series arXiv "math". 2016.
• Preprint Prokhorov Y., Shramov K. Jordan constant for Cremona group of rank 3 / Cornell University. Series arXiv "math". 2016.
• Preprint Prokhorov Y., Zaidenberg M. New examples of cylindrical Fano fourfolds / Cornell University. Series math "arxiv.org". 2015. No. 1507.01748.
• Preprint Prokhorov Y. Singular Fano threefolds of genus 12 / Cornell University. Series arXiv "math". 2015. No. 1508.04371.
• Preprint Yuri Prokhorov, Zaidenberg M. Examples of cylindrical Fano fourfolds / Cornell University. Series math "arxiv.org". 2014.
• Preprint Fedor Bogomolov, Yuri Prokhorov. On stable conjugacy of finite subgroups of the plane Cremona group, I / Cornell University. Series math "arxiv.org". 2013.
• Preprint Yuri Prokhorov. On stable conjugacy of finite subgroups of the plane Cremona group, II / Cornell University. Series math "arxiv.org". 2013.
• Preprint Prokhorov Y., Shramov K. Jordan property for Cremona groups / Cornell University. Series math "arxiv.org". 2012.
• Preprint Prokhorov Y., Reid M. On Q-Fano threefolds of Fano index 2 / Cornell University. Series math "arxiv.org". 2012.
• Preprint Yuri Prokhorov. A note on degenerations of del Pezzo surfaces / Cornell University. Series math "arxiv.org". 2011.