Sh. Mori, Yu. G. Prokhorov, “Remark on the paper
“General elephants for threefold extremal contractions with one-dimensional fibres: exceptional
case”, Sbornik: Mathematics, 2021, Volume 212, Issue 3, 351–373”, Mat. Sb. (to appear)
2.
A. G. Kuznetsov, Yu. G. Prokhorov, “One-nodal Fano threefolds with Picard number one”, Izv. RAN. Ser. Mat. (to appear)
2025
3.
Yuri Prokhorov, “Q-Fano threefolds of Fano Index 13”, Higher Dimensional Algebraic Geometry: A Volume in Honor of V. V. Shokurov, ondon Mathematical Society Lecture Note Series, 489, eds. Christopher Hacon and Chenyang Xu, Cambridge University Press, 2025, 115–129 (to appear)
2024
4.
Alexander Kuznetsov, Yuri Prokhorov, “Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank”, J. Inst. Math. Jussieu, 23:1 (2024), 207–247 , arXiv: 2103.02934
Yuri Prokhorov, “On the birational geometry of $\mathbb Q$-Fano threefolds of large Fano index, I”, Ann. Univ. Ferrara, Sez. VII, Sci. Mat., 70 (2024), 955–985 , arXiv: 2403.18389;
6.
Sh. Mori, Yu. Prokhorov, Toward the classification of threefold extremal contractions with one-dimensional fibers, 2024 , 31 pp., arXiv: 2410.03165
7.
Yuri Prokhorov, “Markov numbers in arithmetic and geometry”, St. Petersburg mathematicians and their discoveries, eds. Nikita Kalinin, MCCME, 2024, 153-160 "https://sites.google.com/view/spbmath"
Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Fano threefolds over non-closed fields”, Amer. J. Math., 145:2 (2023), 335–411 , arXiv: 1911.08949;
Yuri Prokhorov, “Embeddings of the symmetric groups to the space Cremona group”, Birational Geometry, Kähler–Einstein Metrics and Degenerations, BGKEMD 2019, Springer Proc. Math. Statist., 409, Springer, Cham, 2023, 749–762 , arXiv: 2112.04175;
Yuri Prokhorov, Mikhail Zaidenberg, “Affine cones over Fano–Mukai fourfolds of genus 10 are flexible”, The Art of Doing Algebraic Geometry, Trends Math., Birkhäuser, Cham, 2023, 363–383 , arXiv: 2005.12092;
Yuri Prokhorov, “Finite groups of birational transformations”, European Congress of Mathematics (Portorož, 20–26 June, 2021), EMS Press, 2023, 413–437 , arXiv: 2108.13325
18.
Yuri Prokhorov, “Effective results in the three-dimensional minimal model program”, Proceedings of the International Congress of Mathematicians (July 6–14, 2022), v. 3, eds. Dmitry Beliaev and Stanislav Smirnov, EMS Press, 2023, 2324–2345 , arXiv: 2108.13052
19.
Alexander Kuznetsov, Yuri Prokhorov, One-nodal Fano threefolds with Picard number one, 2023 , 79 pp., arXiv: 2312.13782
20.
F. A. Bogomolov, A. M. Vershik, S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarhin, S. V. Konyagin, Vik. S. Kulikov, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, I. A. Panin, V. P. Platonov, V. L. Popov, Yu. G. Prokhorov, A. L. Smirnov, “Alexey Nikolaevich Parshin (obituary)”, Russian Math. Surveys, 78:3 (2023), 549–554
2022
21.
Yuri Prokhorov, Mikhail Zaidenberg, “Fano–Mukai fourfolds of genus 10 and their automorphism groups”, Eur. J. Math., 8 (2022), 561–572 , arXiv: 2103.12167
Yu. G. Prokhorov, “Fano threefolds”, Lekts. Kursy NOC, 31, Steklov Math. Institute of RAS, Moscow, 2022, 3–154 , 154 pp.
23.
Jérémy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov, “Birational self-maps of threefolds of (un)-bounded genus or gonality”, Amer. J. Math., 144:2 (2022), 575–597 , arXiv: 1905.00940
24.
Yuri Prokhorov, “Conic bundle structures on $\mathbb Q$-Fano threefolds”, Electron Res. Arch., 30, Special issue on birational geometry and moduli of projective varieties:5 (2022), 1881–1897 , arXiv: 2111.01003
Yu. G. Prokhorov, K. A. Shramov, “Konechnye gruppy bimeromorfnykh avtomorfizmov neunilineichatykh trekhmernykh kelerovykh mnogoobrazii”, Matem. sb., 213:12 (2022), 86–108 , arXiv: 2110.05825 [Yu. G. Prokhorov, С. A. Shramov, “Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds”, Mat. Sb. , arXiv: 2110.05825]
Yu. Prokhorov, Q-Fano threefolds of Fano index thirteen, 2022 , 9 pp., arXiv: 2212.06884
28.
V. A. Artamonov, L. A. Bokut', V. V. Borisenko, E. I. Bunina, V. M. Buchstaber, A. È. Guterman, Yu. L. Ershov, M. V. Zaitsev, A. Ya. Kanel'-Belov, A. R. Kemer, A. V. Mikhalev, S. P. Mishchenko, S. P. Novikov, A. Yu. Ol'shanskii, Yu. G. Prokhorov, Yu. P. Razmyslov, A. I. Shafarevich, I. V. Shestakov, “Victor Nikolaevich Latyshev (obituary)”, Russian Math. Surveys, 77:1 (2022), 165–170
29.
Yu. Prokhorov, “Automorphism groups of prime Fano threefolds of genus twelve”, Appendix to "On the automorphisms of Mukai varieties by Thomas Dedieu and Laurent Manivel, Mathematische Zeitschrift, 300:4 (2022)
F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 555–557
2021
32.
Sh. Mori, Yu. G. Prokhorov, “Obschii antikanonicheskii element dlya trekhmernykh ekstremalnykh styagivanii s odnomernymi sloyami: isklyuchitelnyi sluchai”, Matem. sb., 212:3 (2021), 88–111 , arXiv: 2002.10693;
Yu. G. Prokhorov, “Equivariant minimal model program”, Russian Math. Surveys, 76:3 (2021), 461–542
35.
Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Mukai varieties over non-closed fields”, Rationality of Varieties, Prog. Math., 342, eds. Farkas G., van der Geer G., Shen M., Taelman L., Birkhäuser, Cham, 2021, 249–290 , arXiv: 2003.10761
V. A. Alexeev, C. Birkar, F. A. Bogomolov, Yu. G. Zarhin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, A. S. Tikhomirov, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 70th birthday)”, Russian Math. Surveys, 76:3 (2021), 553–556
39.
K. K. Andreev, G. N. Arzhantseva, V. A. Artamonov, V. S. Atabekyan, I. N. Balaba, N. V. Bezverkhny, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. Deryabina, N. M. Dobrovolsky, M. V. Zaicev, A. L. Kanunnikov, A. A. Klyachko, O. V. Kulikova, O. V. Markova, V. H. Mikaelyan, M. V. Milentyeva, A. E. Minasyan, K. V. Mikhailovsky, A. V. Mikhalev, A. E. Pankratiev, Yu. G. Prokhorov, Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. Shirshova, “Alexander Yuryevich Olshanskii (to the 75th anniversary)”, Chebyshevskii Sb., 22:2 (2021), 347–365
2020
40.
Yu. G. Prokhorov, K. A. Shramov, “Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds”, Izv. Math., 84:5 (2020), 978–1001
41.
Yu. G. Prokhorov, C. A. Shramov, “Bounded automorphism groups of compact complex surfaces”, Sb. Math., 211:9 (2020), 1310–1322 , arXiv: 1909.12013
42.
Yuri Prokhorov, Constantin Shramov, “Automorphism groups of Inoue and Kodaira surfaces”, Asian J. Math., 24:2 (2020), 355–368
N. M. Adrianov, V. A. Artamonov, I. N. Balaba, Yu. A. Bahturin, L. A. Bokut', V. V. Borisenko, E. I. Bunina, S. A. Gaifullin, S. T. Glavatsky, I. Z. Golubchik, S. González, A. V. Grishin, A. È. Guterman, N. I. Dubrovin, M. V. Zaicev, E. I. Zel'manov, N. K. Il'ina, A. Ya. Kanel-Belov, A. L. Kanunnikov, E. S. Kislitsyn, A. A. Klyachko, I. B. Kozhukhov, E. M. Kreines, O. V. Kulikova, T. P. Lukashenko, O. V. Markova, C. Martínez, A. A. Mikhalev, A. V. Mikhalev, A. Yu. Ol'shanskii, A. E. Pentus, A. V.A. Petrov, Yu. G. Prokhorov, S. V. Pchelintsev, V. V. Tenzina, D. A. Timashev, A. A. Tuganbaev, I. N. Tumaikin, V. K. Kharchenko, I. A. Chubarov, A. A. Shafarevich, A. I. Shafarevich, I. P. Shestakov, E. E. Shirshova, V. É. Shpil'rain, “Viktor Timofeevich Markov (21.06.1948—15.07.2019)”, J. Math. Sci., 262:5 (2022), 592–602
2019
44.
Sh. Mori, Yu. G. Prokhorov, “Threefold extremal curve germs with one non-Gorenstein point”, Izv. Math., 83:3 (2019), 565–612
45.
Yuri G. Prokhorov, “Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I”, Proc. Steklov Inst. Math., 307 (2019), 210–231
46.
Yu. G. Prokhorov, K. A. Shramov, “Automorphism Groups of Moishezon Threefolds”, Math. Notes, 106:4 (2019), 651–655
2021
47.
Yu. Prokhorov, “Quasi-Simple Finite Groups of Essential Dimension 3”, Journal of Mathematical Sciences, 257:6 (2021), 876–882 , arXiv: 1703.10780
2019
48.
Yuri Prokhorov, “Log-canonical degenerations of del Pezzo surfaces in $\mathbb Q$-Gorenstein families”, Kyoto J. Math., 59:4 (2019), 1041–1073 , arXiv: 1703.10229
Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456
50.
Alexander G. Kuznetsov, Yuri G. Prokhorov, Constantin A. Shramov, “Hilbert schemes of lines and conics and automorphism groups of Fano threefolds”, Jpn. J. Math., 13:1 (2018), 109–185 , arXiv: 1605.02010
Alexander Kuznetsov, Yuri Prokhorov, “Prime Fano threefolds of genus 12 with a $G_m$-action and their automorphisms”, Épijournal de Géom. Algébr., EPIGA, 2 (2018), 3 , 14 pp., arXiv: 1711.08504
52.
Yuri Prokhorov, Constantin Shramov, “$p$-subgroups in the space Cremona group”, Math. Nachr., 291:8-9 (2018), 1374–1389 , arXiv: 1610.02990
Yuri Prokhorov, Mikhail Zaidenberg, “Fano–Mukai fourfolds of genus 10 as compactifications of $\mathbb{C}^4$”, Eur. J. Math., 4:3 (2018), 1197–1263 , arXiv: 1706.04926
S. Mori, Yu. Prokhorov, “Threefold extremal contractions of type (IIA), II”, Geometry and Physics: A Festschrift in Honour of Nigel Hitchin, v. 2, eds. Dancer, A., Andersen, Jørgen. E., Garcia-Prada, O., Oxford University Press, 2018, 623–652 , arXiv: 1707.05047
56.
I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545
2017
57.
Yu. G. Prokhorov, “On the Number of Singular Points of Terminal Factorial Fano Threefolds”, Math. Notes, 101:6 (2017), 1068–1073
58.
Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509 , arXiv: 1608.00709
Yu. Prokhorov, M. Zaidenberg, “New examples of cylindrical Fano fourfolds”, Adv. Stud. Pure Math., 75, 2017, 443–463 , arXiv: 1507.01748
60.
Yuri Prokhorov, “A simple proof of the non-rationality of a general quartic double solid”, Bull. Korean Math. Soc., 54:5 (2017), 1619–1625 , arXiv: 1605.02017
2016
61.
Yuri Prokhorov, Mikhail Zaidenberg, “Examples of cylindrical Fano fourfolds”, Eur. J. Math., 2:1 (2016), 262–282 , arXiv: 1406.6339
Yuri G. Prokhorov, “$\mathbb Q$-Fano threefolds of index $7$”, Proc. Steklov Inst. Math., 294 (2016), 139–153
65.
Yuri Prokhorov, Miles Reid, “On Q-Fano threefolds of Fano index 2”, Minimal Models and Extremal Rays (Kyoto 2011), Adv. Stud. Pure Math., 70, eds. J. Kollár, O. Fujino, S. Mukai and N. Nakayama, Mathematical Society of Japan, Kinokuniya, Tokyo, 2016, 397–420 , arXiv: 1203.0852
66.
Izv. Math., 80:5 (2016), 884–909
2015
67.
Yu. Prokhorov, “A note on degenerations of del Pezzo surfaces”, Annales de l'institut Fourier, 65:1 (2015), 369–388 , arXiv: 1108.5051
Yu. Prokhorov, “On birational involutions of $P^3$”, abstracts of talks, Algebraic varieties and moduli spaces (with emphasis on self maps) (Research Institute for Mathematical Sciences, Kyoto University, JAPAN, March 4–7, 2014), eds. Mukai, Shigeru, RIMS, 2014, 35–36
74.
Yu. Prokhorov, “2-elementary subgroups of the space Cremona group”, Automorphisms in birational and affine geometry (Levico Terme, Italy, October 2012), Springer Proceedings in Mathematics & Statistics, 79, eds. I. Cheltsov and C. Ciliberto and H. Flenner and J. McKernan and Y. G. Prokhorov and M. Zaidenberg, Springer, 2014, 215–229 , arXiv: 1506.07873
Yu. Prokhorov, “Del Pezzo fibrations”, Appendix to “Five embeddings of one simple group” by I. Cheltsov and C. Shramov, Trans. Amer. Math. Soc., 366:3 (2014), 1289–1331
2013
78.
F. Bogomolov, Yu. Prokhorov, “On stable conjugacy of finite subgroups of the plane Cremona group, I”, Cent. Eur. J. Math., 11:12 (2013), 2099–2105 , arXiv: 1306.3045
F. A. Bogomolov, F. Kataneze, Yu. I. Manin, S. Yu. Nemirovskii, V. V. Nikulin, A. N. Parshin, V. V. Przhiyalkovskii, Yu. G. Prokhorov, M. Teikher, A. S. Tikhomirov, V. M. Kharlamov, I. A. Cheltsov, I. R. Shafarevich, V. V. Shokurov, “Viktor Stepanovich Kulikov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 68:2(410) (2013), 205–207
2012
85.
Yuri Prokhorov, “Simple finite subgroups of the Cremona group of rank 3”, J. Algebraic Geom., 21:3 (2012), 563–600 , arXiv: 0908.0678
I. Arzhantsev, V. Batyrev, E. Bunina, E. Golod, A. Guterman, M. Zaitsev, A. Zobnin, A. Klyachko, V. Markov, A. Olshanskii, E. Porshnev, Yu. Prokhorov, Studencheskie olimpiady po algebre na mekhmate MGU, MTsNMO, Moskva, 2012 , 72 pp.
2011
87.
S. Mori, Y. Prokhorov, “Threefold extremal contractions of type IA”, Kyoto J. Math., 51:2 (2011), 393–438 , arXiv: 1004.4188
T. Kishimoto, Yuri Prokhorov, M. Zaidenberg, “Group actions on affine cones”, Peter Russell's Festschrift, Proceedings of the conference on Affine Algebraic Geometry held in Professor Russell's honour, Affine algebraic geometry: The Russell Festschrift. Outgrow of an international conference, McGill University, Montreal, QC, Canada. June 1–5, 2009, held in honour of Professor Peter Russell on the occasion of his 70th birthday (McGill Univ., Montreal., 1–5 June 2009), Centre de Recherches Mathématiques CRM Proc. and Lect. Notes, 54, Amer. Math. Soc., Providence, RI, 2011, 123–163 , arXiv: 0905.4647
Yuri Prokhorov, “Q-Fano threefolds of large Fano index. I.”, Doc. Math., J. DMV, 15 (2010), 843–872DMJDMV/vol-15/26
93.
Yuri Prokhorov, “Fields of invariants of finite linear groups”, Cohomological and geometric approaches to rationality problems, Progr. Math., 282, Birkhäuser Boston Inc., Boston, MA, 2010, 245–273 , arXiv: 0707.1738
F. A. Bogomolov, Yu. G. Zarhin, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 60th birthday)”, Russian Math. Surveys, 65:6 (2010), 1193–1198
2009
95.
Proc. Steklov Inst. Math., 264 (2009), 131–145
96.
Yu. G. Prokhorov, Osobennosti algebraicheskikh mnogoobrazii, MTsNMO, Moskva, 2009 , 128 pp.
97.
S. Mori, Y. Prokhorov, “On Q-conic bundles. III”, Publ. Res. Inst. Math. Sci., 45:3 (2009), 787–810 , arXiv: 0809.0489
Yu. G. Prokhorov, “Mnogoobraziya Q-Fano bolshoi stepeni”, Sovr. probl. mat. mekh., 4, Mosk. gos. univ. im. M. V. Lomonosova, mekh-mat. fak., 2009, 105–115
100.
F. A. Bogomolov, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (obituary)”, Russian Math. Surveys, 64:5 (2009), 939–946
2008
101.
Huah Chu, Shou-Jen Hu, Ming-chang Kang, Yuri Prokhorov, “Noether's problem for groups of order 32”, J. Algebra, 320:7 (2008), 3022–3035
Yuri Prokhorov, “Gap conjecture for 3-dimensional canonical thresholds”, J. Math. Sci. Univ. Tokyo, 15:4 (2008), 449–459jms150402.pdf, arXiv: 0806.3811
2007
105.
Yu. G. Prokhorov, “The degree of $\mathbb Q$-Fano threefolds”, Sb. Math., 198:11 (2007), 1683–1702 , arXiv: math/0610026
106.
Yu. G. Prokhorov, “On Fano–Enriques threefolds”, Sb. Math., 198:4 (2007), 559–574
107.
Yu. G. Prokhorov, Ellipticheskie krivye i kriptografiya. Semestr 1, Izdatelstvo tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2007 , 144 pp.
2005
108.
Yu. G. Prokhorov, “On the degree of Fano threefolds with canonical Gorenstein singularities”, Sb. Math., 196:1 (2005), 77–114
109.
Yuri Prokhorov, “On semistable Mori conic bundles”, J. Math. Sci. (New York), 131:6 (2005), 6140–6147
110.
P. Hacking, Yu. Prokhorov, Degenerations of del Pezzo surfaces I, 2005 , 14 pp., arXiv: math/0509529
2007
111.
A. B. Verevkin, Yu. G. Prokhorov, “The Riemann–Roch theorem on surfaces with log terminal singularities”, J. Math. Sci., 140:2 (2007), 200–205
2004
112.
Yu. G. Prokhorov, “On semistable Mori contractions”, Izv. Math., 68:2 (2004), 365–374
Yuri Prokhorov, “A remark on Fano threefolds with canonical Gorenstein singularities”, The Fano Conference, Papers of the conference organized to commemorate the 50th anniversary of the death of Gino Fano (1871–1952) (Torino, Italy, September 29–October 5, 2002), eds. Collino, Alberto et al., Univ. Torino, Turin, 2004, 647–657 , arXiv: math/0312012
2003
115.
Yu. G. Prokhorov, “An Application of the Canonical Bundle Formula”, Proc. Steklov Inst. Math., 241 (2003), 195–201
116.
Yu. G. Prokhorov, “On the Zariski Decomposition Problem”, Proc. Steklov Inst. Math., 240 (2003), 37–65
117.
Yuri Prokhorov, “Elliptic Gorenstein singularities, log canonical thresholds, and log Enriques surfaces”, J. Math. Sci. (New York), 115:3 (2003), 2378–2394 , arXiv: math/0105129
Yuri Prokhorov, “Blow-ups of canonical singularities”, Algebra, Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh (Moscow, Russia, May 25-30, 1998), eds. Bahturin, Yu., de Gruyter, Berlin, 2000, 301–317 , arXiv: 9810097
133.
Yu. G. Prokhorov, “O logkanonicheskikh porogakh v razmernosti tri”, Universalnaya algebra i ee prilozheniya, Trudy uchastnikov mezhdunarodnogo seminara, posvyaschennogo pamyati professora Moskovskogo gosudarstvennogo universiteta L. A. Skornyakova (Volgograd 6–11 sentyabrya 1999), Peremena, Volgograd, 2000, 250–256
1999
134.
V. A. Iskovskikh, Y. G. Prokhorov, Fano varieties, Algebraic geometry V, Encyclopaedia Math. Sci., 47, Springer, Springer, Berlin, 1999 , 247 pp.
135.
D. Markushevich, Y. Prokhorov, “Exceptional quotient singularities”, Amer. J. Math., 121:6 (1999), 1179–1189 , arXiv: math/9806029
D. G. Markushevich, Yu. G. Prokhorov, “Klein's group defines an exceptional singularity of dimension 3”, J. Math. Sci. (New York), 94:1 (1999), 1060–1067 , arXiv: math/9805004
Yuri Prokhorov, “On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point and a nonsingular base surface”, J. Math. Sci. (New York), 95:1 (1999), 1986–1995 , arXiv: alg-geom/9702011
A. I. Kostrikin, V. S. Kulikov, Yu. I. Manin, V. V. Nikulin, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, A. N. Tyurin, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (on his 60th birthday)”, Russian Math. Surveys, 54:4 (1999), 863–868
1997
140.
Yu. G. Prokhorov, “On the existence of complements of the canonical divisor for Mori conic bundles”, Sb. Math., 188:11 (1997), 1665–1685 , arXiv: alg-geom/9608007
141.
Yuri Prokhorov, “On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point”, Birational algebraic geometry (Baltimore, MD, 1996), Contemp. Math., 207, Amer. Math. Soc., Providence, RI, 1997, 119–141 , arXiv: alg-geom/9605002
Yu. G. Prokhorov, “On general elephant problem for three-dimensional $\mathbf{Q}$-Fano fiber spaces over a surface”, Fundam. Prikl. Mat., 1:1 (1995), 263–280
143.
Yu. G. Prokhorov, “On algebraic threefolds whose hyperplane sections are Enriques surfaces”, Sb. Math., 186:9 (1995), 1341–1352
144.
Yu. G. Prokhorov, “The existence of good divisors of Fano varieties of coindex 3”, Proc. Steklov Inst. Math., 208 (1995), 234–243
145.
Yu. Prokhorov, On Q-Fano fiber spaces with two-dimensional base, 3733.pdf, Max Planck Institute for Mathematics, Bonn, 1995 , 30 pp.
146.
Yu. G. Prokhorov, “The existence of a smooth divisor on Fano 4-folds of index 2”, Russian Acad. Sci. Sb. Math., 83:1 (1995), 119–131
1994
147.
Yuri Prokhorov, “Compactifications of $\mathbf C^4$ of index 3”, Algebraic geometry and its applications (Yaroslavl, 1992), Aspects Math., E25, Vieweg, 1994, 159–169
1993
148.
Yu. G. Prokhorov, “Rationality constructions of some Fano fourfolds of index 2”, Moscow Univ. Math. Bull., 48:2 (1993), 32–35
149.
Yu. G. Prokhorov, “Invariant subvarieties in spaces of binary forms”, St. Petersburg Math. J., 4:5 (1993), 981–988
1992
150.
I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Rationality construction of fields of invariants of some finite four-dimensional linear groups associated with Fano threefolds”, Math. Notes, 51:1 (1992), 74–76
151.
Yu. G. Prokhorov, “Invariant submanifolds in spaces of binary forms”, Russian Math. Surveys, 47:4 (1992), 224–225
152.
Yu. G. Prokhorov, “Fano threefolds of genus 12 and compactifications of $\mathbb C^3$”, St. Petersburg Math. J., 3:4 (1992), 855–864
1993
153.
I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Rationality of fields of invariants of some four-dimensional linear groups, and an equivariant construction related to the Segre cubic”, Math. USSR-Sb., 74:1 (1993), 169–183
1990
154.
Yu. G. Prokhorov, “Automorphism groups of Fano manifolds”, Russian Math. Surveys, 45:3 (1990), 222–223
I. Ya. Kolpakov-Miroshnichenko, Yu. G. Prokhorov, “Rationality of the field of invariants of a faithful four-dimensional representation of the icosahedral group”, Math. Notes, 41:4 (1987), 270–272
Markov numbers in algebra, geometry and arithmetic Yu. G. Prokhorov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences September 28, 2023 13:00
7.
Seminar 1. Minimal Model Program Yu. G. Prokhorov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Minimal Model Program" September 27, 2023 18:00
8.
О классификации особых многообразий Фано Yu. G. Prokhorov Conference on algebra, algebraic geometry, and number theory on the
occasion of academician Igor Rostislavovich Shafarevich 100th birthday June 7, 2023 11:00
Singular Del Pezzo varieties Yu. Prokhorov International Conference "Advances in Algebra and Applications" June 22, 2022 14:30
24.
Seminar 28. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" May 25, 2022 18:00
25.
Seminar 27. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" May 18, 2022 18:00
26.
Seminar 26. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" May 11, 2022 18:00
27.
Seminar 25. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" May 4, 2022 18:00
28.
Seminar 24. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" April 27, 2022 18:00
29.
Seminar 23. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" April 20, 2022 18:00
30.
Seminar 22. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" April 13, 2022 18:00
31.
Seminar 21. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" April 6, 2022 18:00
32.
Seminar 20. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" March 30, 2022 18:00
33.
Seminar 19. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" March 23, 2022 18:00
34.
Seminar 18. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" March 16, 2022 18:00
35.
Seminar 17. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" March 9, 2022 18:00
36.
Seminar 16. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" March 2, 2022 18:00
37.
Seminar 15. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" February 23, 2022 18:00
38.
Seminar 14. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" February 16, 2022 18:00
39.
Seminar 13. Surfaces of general type Yu. G. Prokhorov, C. A. Shramov Seminar by Yu. G. Prokhorov and С. A. Shramov "Surfaces of general type" February 9, 2022 18:00
Lecture 24. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" April 28, 2021 18:00
43.
Lecture 23. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" April 21, 2021 18:00
44.
Lecture 22. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" April 14, 2021 18:00
45.
Lecture 21. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" April 7, 2021 18:00
46.
Lecture 20. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" March 31, 2021 18:00
47.
Lecture 19. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" March 24, 2021 18:00
48.
Lecture 17. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" March 10, 2021 18:00
49.
Lecture 16. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" March 3, 2021 18:00
50.
Lecture 15. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" February 24, 2021 18:00
51.
Lecture 14. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" February 17, 2021 18:00
Lecture 13. Algebraic surfaces Yu. G. Prokhorov, С. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" February 10, 2021 18:00
54.
Lecture 12. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" December 9, 2020 18:00
55.
Lecture 11. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" December 2, 2020 18:00
56.
Lecture 10. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" November 25, 2020 18:00
57.
Lecture 9. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" November 18, 2020 18:00
58.
Lecture 7. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" November 11, 2020 18:00
59.
Lecture 8. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" November 4, 2020 18:00
Lecture 6. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" October 21, 2020 18:00
62.
Lecture 5. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" October 14, 2020 18:00
63.
Lecture 4. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" October 7, 2020 18:00
64.
Lecture 3. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" September 30, 2020 18:00
65.
Lecture 2. Algebraic surfaces Yu. G. Prokhorov, C. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" September 23, 2020 18:00
66.
Lecture 1. Algebraic surfaces Yu. G. Prokhorov, С. A. Shramov Course by Yu. G. Prokhorov and C. A. Shramov "Algebraic surfaces" September 16, 2020 18:00
67.
Семинар 6. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" March 18, 2020 16:00
68.
Семинар 5. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" March 11, 2020 16:00
69.
Семинар 4. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" March 4, 2020 16:00
70.
Семинар 3. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" February 26, 2020 16:00
Семинар 2. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" February 19, 2020 16:00
73.
Семинар 1. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" February 12, 2020 16:00
74.
Лекция 10. Алгебраические кривые Yu. G. Prokhorov Course by Yu. G. Prokhorov, C. A. Shramov. Algebraic Curves December 4, 2019 18:00
75.
Лекция 9. Алгебраические кривые Yu. G. Prokhorov Course by Yu. G. Prokhorov, C. A. Shramov. Algebraic Curves November 27, 2019 18:00
Jordan constant for Cremona group of rank 3 Yu. G. Prokhorov, K. A. Shramov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017 November 29, 2017 11:45
Classical algebraic geometry. Lecture 9 Yu. G. Prokhorov C. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016 April 27, 2016 18:00
135.
Classical algebraic geometry. Lecture 8 Yu. G. Prokhorov C. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016 April 13, 2016 18:00
Classical algebraic geometry. Lecture 6 Yu. G. Prokhorov C. A. Shramov course "Classical algebraic geometry", spring semester 2015/2016 March 23, 2016 18:00
$G$-многообразия Фано Yu. G. Prokhorov Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013 November 20, 2013 10:40
155.
Свойство цилиндричности для многообразий Yu. G. Prokhorov Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin October 28, 2013 11:45
Singular Fano threefolds and subgroups of the Cremona group Yu. G. Prokhorov International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin February 24, 2010 11:30
2025
Contact us: