Persons: Prokhorov, Yuri Gennadievich

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Prokhorov, Yuri Gennadievich

Total publications:	164 (147)
in MathSciNet:	132 (120)
in zbMATH:	129 (120)
in Web of Science:	98 (87)
in Scopus:	97 (94)
Cited articles:	108
Citations:	1491
Talks:	179

Number of views:
This page:	23219
Abstract pages:	96007
Full texts:	41580
Talk pages:	160918
Video records:	21636

Corresponding member of RAS

Professor

Doctor of physico-mathematical sciences (2002)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Birth date:

2.03.1964

E-mail:

Website:

https://www.mi-ras.ru/~prokhoro

Keywords:

algebraic variety, minimal model, birational map, Fano variety, singularity.

UDC:

512.76, 512.77, 512.7, 512, 512.712, 512.774.2

MSC:

14E05, 14E30, 14E08, 14Jxx

Subject:

Algebraic geometry.

Main publications:

V.A. Iskovskikh and Yu. Prokhorov, Fano varieties, Encyclopaedia Math. Sci. Algebraic geometry, V, Springer, 1999

https://www.mathnet.ru/eng/person8352

https://scholar.google.com/citations?user=1uY3AWUAAAAJ&hl=en

https://zbmath.org/authors/ai:prokhorov.yuri-g

https://mathscinet.ams.org/mathscinet/MRAuthorID/243580

https://elibrary.ru/author_items.asp?spin=3991-9025

ISTINA

https://istina.msu.ru/workers/520777

https://orcid.org/0000-0001-7376-1861

https://www.webofscience.com/wos/author/record/C-3478-2014

https://www.scopus.com/authid/detail.url?authorId=7003439691

https://www.researchgate.net/profile/Yu_Prokhorov

https://arxiv.org/a/prokhorov_y_1

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2026
1.	Shigefumi Mori, Yuri Prokhorov, “Toward the classification of threefold extremal contractions with one-dimensional fibers”, Pure Appl. Math. Q., 22:1 (2026), 245–293, arXiv: 2410.03165
2.	Yu. G. Prokhorov, “Rational Surfaces”, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
3.	Yuri Prokhorov, Double Veronese cones with singularities, 2026, 26 pp., arXiv: arXiv:2605.11932
4.	Yu. G. Prokhorov, “Birational transformations of threefold $\mathbb{Q}$-conic bundles”, Modern Algebraic Geometry, Collected papers. Dedicated to Academician Dmitri Orlov on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 334, Steklov Math. Inst., Moscow, 2026 (to appear)
5.	I. Cheltsov, K. Loginov, D. Orlov, Yu. Prokhorov, Unirational del Pezzo surfaces of degree one, 2026, 13 pp., arXiv: arXiv:2608.15435
6.	Yu. G. Prokhorov, “Corrections to the paper “On the degree of Fano threefolds with canonical Gorenstein singularities”, Sb. Math., 196:1 (2005), 77–114”, Sb. Math., 217:3 (2026), 442–445

2025
7.	Izv. Math., 89:3 (2025), 495–594
8.	D. O. Orlov, M. V. Zaicev, A. A. Klyachko, A. A. Mikhalev, Yu. G. Prokhorov, D. A. Timashev, “Research activity of the Chair of Higher Algebra”, Moscow University Mathematics Bulletin, 80:1 (2025), 8–14
9.	Yuri Prokhorov, “On the birational geometry of sextic threefold hypersurfaces in $\mathbb{P}(1,1,2,2,3)$”, Funct. Anal. Appl., 59:4 (2025), 440–456
10.	Yu. G. Prokhorov, “On the Birational Geometry of $\mathbb Q$-Fano Threefolds of Large Fano Index. II”, Proc. Steklov Inst. Math., 330 (2025), 314–341
11.	Yuri Prokhorov, Birational transformations of threefold Q-conic bundles, 2025, 30 pp., arXiv: 2508.03892
12.	Yu. Prokhorov, “Icosahedron in Birational Geometry”, Russ. J. Math. Phys., 32:1 (2025), 160–184, arXiv: 2411.15334
13.	Yuri Prokhorov, “Q-Fano threefolds of Fano Index 13”, Higher dimensional algebraic geometry: a volume in honor of V. V. Shokurov, Lond. Math. Soc. Lect. Note Ser., 489, Cambridge University Press, Cambridge, 2025, 115–129, arXiv: 2212.06884
14.	I. Cheltsov, A. Pinardin, Yu. Prokhorov, Simple subgroups of the real space Cremona group, 2025, 59 pp., arXiv: arXiv:2511.10477
15.	Yu. G. Prokhorov, “Fano threefolds”, Proceedings of the Steklov Institute of Mathematics, 328:1 (2025), S1–S130	2 ^[x]
16.	Sh. Mori, Yu. G. Prokhorov, “Remark on the paper “General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case”, Sbornik: Mathematics, 212:3 (2021), 351–373”, Sb. Math., 216:4 (2025), 578–580

2024
17.	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	7 ^[x]
18.	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 ^[x]
19.	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"

2023
20.	Yuri Prokhorov, “Rationality of Fano threefolds with terminal Gorenstein singularities, II”, Rend. Circ. Mat. Palermo (2), 72 (2023), 1797–1821, arXiv: 2112.07001	4 ^[x]
21.	Jérémy Blanc, Ivan Cheltsov, Alexander Duncan, Yuri Prokhorov, “Finite quasisimple groups acting on rationally connected threefolds”, Math. Proc. Camb. Phil. Soc., 174:3 (2023), 531–568, arXiv: 1809.09226	13 ^[x]
22.	Yu. G. Prokhorov, K. A. Shramov, “Svoistvo Zhordana dlya gruppy Kremony nad konechnym polem”, Algebra, arifmeticheskaya, algebraicheskaya i kompleksnaya geometriya, Sbornik statei. Posvyaschaetsya pamyati akademika Alekseya Nikolaevicha Parshina, Trudy MIAN, 320, MIAN, M., 2023, 298–310, arXiv: 2111.13367	2 ^[x]
23.	Izv. Math., 87:3 (2023), 488–561
24.	Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Fano threefolds over non-closed fields”, Amer. J. Math., 145:2 (2023), 335–411, arXiv: 1911.08949	6 ^[x]
25.	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	3 ^[x]
26.	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	7 ^[x]
27.	Yuri Prokhorov, “Finite groups of birational transformations”, European Congress of Mathematics (Portorož, 20–26 June, 2021), EMS Press, 2023, 413–437, arXiv: 2108.13325	5 ^[x]
28.	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	4 ^[x]
29.	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
30.	Yuri Prokhorov, Mikhail Zaidenberg, “Fano–Mukai fourfolds of genus 10 and their automorphism groups”, Eur. J. Math., 8 (2022), 561–572, arXiv: 2103.12167	5 ^[x]

2025
31.	Yu. G. Prokhorov, “Fano threefolds”, Proceedings of the Steklov Institute of Mathematics, 328:1 (2025), S1–S130

2022
32.	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	2 ^[x]
33.	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	4 ^[x]
34.	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 ]	3 ^[x]
35.	Yu. Prokhorov, “Rationality of $Q$-Fano threefolds of large Fano Index”, Recent Developments in Algebraic Geometry, Lond. Math. Soc. Lect. Note Ser., 478, Cambridge University Press, Cambridge, 2022, 253–274, arXiv: 1903.07105	7 ^[x]
36.	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
37.	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)	4 ^[x]
38.	Yu. G. Prokhorov, “Chisla Markova v arifmetike i geometrii”, Mathematicians from Saint Petersburg and their theorems, 2022 http://mathcenter.spb.ru/nikaan/book/markov_math.pdf
39.	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
40.	S. Mori, Yu. G. Prokhorov, “General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case”, Sb. Math., 212:3 (2021), 351–373
41.	Ivan Cheltsov, Yuri Prokhorov, “Del Pezzo surfaces with infinite automorphism groups”, Algebr. Geom., 8:3 (2021), 319–357, arXiv: 2007.14202	16 ^[x]
42.	Yu. G. Prokhorov, “Equivariant minimal model program”, Russian Math. Surveys, 76:3 (2021), 461–542
43.	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	8 ^[x]
44.	Ivan Cheltsov, Jihun Park, Yuri Prokhorov, Mikhail Zaidenberg, “Cylinders in Fano varieties”, EMS Surv. Math. Sci., 8:1-2 (2021), 39–105, arXiv: 2007.14207	18 ^[x]
45.	Yuri Prokhorov, Constantin Shramov, “Automorphism groups of compact complex surfaces”, Int. Math. Res. Not. IMRN, 2021:4 (2021), 10490–10520, arXiv: 1708.03566	17 ^[x]
46.	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
47.	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
48.	Yu. G. Prokhorov, K. A. Shramov, “Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds”, Izv. Math., 84:5 (2020), 978–1001
49.	Yu. G. Prokhorov, C. A. Shramov, “Bounded automorphism groups of compact complex surfaces”, Sb. Math., 211:9 (2020), 1310–1322, arXiv: 1909.12013
50.	Yuri Prokhorov, Constantin Shramov, “Automorphism groups of Inoue and Kodaira surfaces”, Asian J. Math., 24:2 (2020), 355–368	4 ^[x]

2022
51.	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
52.	Sh. Mori, Yu. G. Prokhorov, “Threefold extremal curve germs with one non-Gorenstein point”, Izv. Math., 83:3 (2019), 565–612
53.	Yuri G. Prokhorov, “Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I”, Proc. Steklov Inst. Math., 307 (2019), 210–231
54.	Yu. G. Prokhorov, K. A. Shramov, “Automorphism Groups of Moishezon Threefolds”, Math. Notes, 106:4 (2019), 651–655

2021
55.	Yu. Prokhorov, “Quasi-Simple Finite Groups of Essential Dimension 3”, Journal of Mathematical Sciences, 257:6 (2021), 876–882, arXiv: 1703.10780

2019
56.	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	2 ^[x]

2018
57.	Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456
58.	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	76 ^[x]
59.	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
60.	Yuri Prokhorov, Constantin Shramov, “$p$-subgroups in the space Cremona group”, Math. Nachr., 291:8-9 (2018), 1374–1389, arXiv: 1610.02990	16 ^[x]
61.	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	16 ^[x]
62.	Yuri Prokhorov, Constantin Shramov, “Finite groups of birational selfmaps of threefolds”, Math. Res. Lett., 25:3 (2018), 957–972, arXiv: 1611.00789	21 ^[x]
63.	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
64.	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
65.	Yu. G. Prokhorov, “On the Number of Singular Points of Terminal Factorial Fano Threefolds”, Math. Notes, 101:6 (2017), 1068–1073
66.	Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank 3”, Mosc. Math. J., 17:3 (2017), 457–509, arXiv: 1608.00709	27 ^[x]
67.	Yu. Prokhorov, M. Zaidenberg, “New examples of cylindrical Fano fourfolds”, Adv. Stud. Pure Math., 75, 2017, 443–463, arXiv: 1507.01748
68.	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
69.	Yuri Prokhorov, Mikhail Zaidenberg, “Examples of cylindrical Fano fourfolds”, Eur. J. Math., 2:1 (2016), 262–282, arXiv: 1406.6339	13 ^[x]
70.	Yu. G. Prokhorov, “Singular Fano threefolds of genus 12”, Sb. Math., 207:7 (2016), 983–1009
71.	Yuri Prokhorov, Constantin Shramov, “Jordan property for Cremona groups”, Amer. J. Math., 138:2 (2016), 403–418, arXiv: 1211.3563	51 ^[x]
72.	Yuri G. Prokhorov, “$\mathbb Q$-Fano threefolds of index $7$”, Proc. Steklov Inst. Math., 294 (2016), 139–153
73.	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
74.	Izv. Math., 80:5 (2016), 884–909

2015
75.	Yu. Prokhorov, “A note on degenerations of del Pezzo surfaces”, Annales de l'institut Fourier, 65:1 (2015), 369–388, arXiv: 1108.5051	5 ^[x]
76.	Yuri Prokhorov, “On stable conjugacy of finite subgroups of the plane Cremona group, II”, Michigan Math. J., 64:2 (2015), 293–318, arXiv: 1308.5698	6 ^[x]
77.	Yu. G. Prokhorov, “On $G$-Fano threefolds”, Izv. Math., 79:4 (2015), 795–808
78.	Yu. G. Prokhorov, Rational surfaces, Lekts. Kursy NOC, 24, Steklov Math. Inst. of RAS, Moscow, 2015, 76 pp.

2014
79.	T. Kishimoto, Yu. Prokhorov, M. Zaidenberg, “Unipotent group actions on del Pezzo cones”, Algebr. Geom., 1:1 (2014), 46–56, arXiv: 1212.4479	22 ^[x]
80.	S. Mori, Yu. Prokhorov, “3-fold extremal contractions of types (IC) and (IIB)”, Proc. Edinb. Math. Soc. (2), 57:1 (2014), 231–252, arXiv: 1106.5180	7 ^[x]
81.	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
82.	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	10 ^[x]
83.	T. Kishimoto, Yu. Prokhorov, M. Zaidenberg, “Affine cones over Fano threefolds and additive group actions”, Osaka J. Math., 51:4 (2014), 1093–1113 http://projecteuclid.org/euclid.ojm/1414761913, arXiv: 1106.1312
84.	Yu. Prokhorov, C. Shramov, “Jordan property for groups of birational selfmaps”, Compositio Math., 150:12 (2014), 2054–2072, arXiv: 1307.1784	50 ^[x]
85.	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
86.	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	5 ^[x]
87.	Yu. G. Prokhorov, “Fano threefolds of large Fano index and large degree”, Sb. Math., 204:3 (2013), 347–382
88.	Yu. G. Prokhorov, “On birational involutions of $\mathbb P^3$”, Izv. Math., 77:3 (2013), 627–648
89.	Yuri Prokhorov, “G-Fano threefolds, I”, Adv. Geom., 13:3 (2013), 389–418, arXiv: 1012.4959	36 ^[x]
90.	Yuri Prokhorov, “G-Fano threefolds, II”, Adv. Geom., 13:3 (2013), 419–434, arXiv: 1101.3854	18 ^[x]
91.	T. Kishimoto, Y. Prokhorov, M. Zaidenberg, “$G_a$-actions on affine cones”, Transform. Groups, 18:4 (2013), 1137–1153, arXiv: 1212.4249	33 ^[x]
92.	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
93.	Yuri Prokhorov, “Simple finite subgroups of the Cremona group of rank 3”, J. Algebraic Geom., 21:3 (2012), 563–600, arXiv: 0908.0678	53 ^[x]
94.	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
95.	S. Mori, Y. Prokhorov, “Threefold extremal contractions of type IA”, Kyoto J. Math., 51:2 (2011), 393–438, arXiv: 1004.4188	18 ^[x]
96.	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	35 ^[x]
97.	Yuri Prokhorov, “p-elementary subgroups of the Cremona group of rank 3”, Classification of algebraic varieties, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, 327–338, arXiv: 0909.3302	23 ^[x]

2010
98.	Paul Hacking, Yuri Prokhorov, “Smoothable del Pezzo surfaces with quotient singularities”, Compositio Math., 146:1 (2010), 169–192, arXiv: 0808.1550	68 ^[x]
99.	Ming-chang Kang, Yuri Prokhorov, “Rationality of three-dimensional quotients by monomial actions”, J. Algebra, 324:9 (2010), 2166–2197, arXiv: 0910.1148	10 ^[x]
100.	Yuri Prokhorov, “Q-Fano threefolds of large Fano index. I.”, Doc. Math., J. DMV, 15 (2010), 843–872 DMJDMV/vol-15/26
101.	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	18 ^[x]
102.	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
103.	Proc. Steklov Inst. Math., 264 (2009), 131–145
104.	Yu. G. Prokhorov, Osobennosti algebraicheskikh mnogoobrazii, MTsNMO, Moskva, 2009, 128 pp.
105.	S. Mori, Y. Prokhorov, “On Q-conic bundles. III”, Publ. Res. Inst. Math. Sci., 45:3 (2009), 787–810, arXiv: 0809.0489	15 ^[x]
106.	Y. Prokhorov, V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199, arXiv: math/0606242	95 ^[x]
107.	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
108.	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
109.	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	26 ^[x]
110.	S. Mori, Y. Prokhorov, “On Q-conic bundles”, Publ. Res. Inst. Math. Sci., 44:2 (2008), 315–369, arXiv: math/0603736	46 ^[x]
111.	S. Mori, Y. Prokhorov, “On Q-conic bundles. II”, Publ. Res. Inst. Math. Sci., 44:3 (2008), 955–971, arXiv: 0710.0792	14 ^[x]
112.	Yuri Prokhorov, “Gap conjecture for 3-dimensional canonical thresholds”, J. Math. Sci. Univ. Tokyo, 15:4 (2008), 449–459