Persons: Shokurov, Vyacheslav Vladimirovich

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Shokurov, Vyacheslav Vladimirovich

Statistics
in MathSciNet:	46 (42)
in zbMATH:	40 (36)
in Web of Science:	23 (19)
in Scopus:	27 (26)

Professor

Doctor of physico-mathematical sciences (1986)

E-mail:

Keywords:

model, divisor, variety, flip, termination, sobor, skrepa, big, colimit, nef, semiample.

Subject:

Algebraic geometry

https://www.mathnet.ru/eng/person11520

List of publications on Google Scholar

https://zbmath.org/authors/ai:shokurov.vyacheslav-v|sokurov.v-v

https://mathscinet.ams.org/mathscinet/MRAuthorID/193627

https://www.webofscience.com/wos/author/record/Q-4590-2016

https://www.scopus.com/authid/detail.url?authorId=8448009000

List of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	V. V. Shokurov, “Three-fold log flips”, Russian Acad. Sci. Izv. Math., 40:1 (1993), 95–202
2.	Yu. G. Prokhorov, V. V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199	90 ^[x]
3.	V. V. Shokurov, “3-Fold log models”, J. Math. Sci., 81:3 (1996), 2667–2699
4.	Shokurov V. V., “Complements on surfaces”, Algebraic geometry, 10, J. Math. Sci. (New York), 102:2 (2000), 3876–3932	65 ^[x]
5.	Proc. Steklov Inst. Math., 240 (2003), 75–213
6.	V. V. Shokurov, “The nonvanishing theorem”, Math. USSR-Izv., 26:3 (1986), 591–604
7.	V. V. Shokurov, “Prym varieties: theory and applications”, Math. USSR-Izv., 23:1 (1984), 83–147
8.	V. V. Shokurov, “The existence of a straight line on Fano 3-folds”, Math. USSR-Izv., 15:1 (1980), 173–209
9.	V. V. Shokurov, “Letters of a Bi-rationalist V: Mld's and Termination of Log Flips”, Proc. Steklov Inst. Math., 246 (2004), 315–336
10.	V. V. Shokurov, “Smoothness of the general anticanonical divisor on a Fano 3-fold”, Math. USSR-Izv., 14:2 (1980), 395–405
11.	Yu. G. Prokhorov, V. V. Shokurov, “The first main theorem on complements: from global to local”, Izv. Math., 65:6 (2001), 1169–1196
12.	V. V. Shokurov, “The Noether–Enriques theorem on canonical curves”, Math. USSR-Sb., 15:3 (1971), 361–403
13.	V. V. Shokurov, “Letters of a Bi-rationalist. VII Ordered Termination”, Proc. Steklov Inst. Math., 264 (2009), 178–200
14.	V. Shokurov, S. R. Choi, “Geography of log models: theory and applications”, Cent. Eur. J. Math., 9:3 (2011), 489–534	15 ^[x]
15.	Shokurov V. V., “Distinguishing Prymians from Jacobians”, Invent. Math., 65:2 (1981), 209–219	13 ^[x]
16.	Iskovskih V. A., Šokurov V. V., “Biregular theory of Fano 3-folds”, Algebraic geometry, Proc. Summer Meeting (Univ. Copenhagen, Copenhagen, 1978), Lecture Notes in Math., 732, Springer, Berlin, 1979, 171–182	11 ^[x]
17.	V. V. Shokurov, “On Rational Connectedness”, Math. Notes, 68:5 (2000), 652–660
18.	V. V. Shokurov, “Holomorphic differential forms of higher degree on Kuga's modular varieties”, Math. USSR-Sb., 30:1 (1976), 119–142
19.	Jingjun Han, Jihao Liu, V. V. Shokurov, “ACC for minimal log discrepancies of exceptional singularities”, Peking Math. J., 2024, 1–33 (Published online) , arXiv: 1903.04338	9 ^[x]
20.	V. A. Iskovskikh, V. V. Shokurov, “Birational models and flips”, Russian Math. Surveys, 60:1 (2005), 27–94
21.	Russian Acad. Sci. Izv. Math., 42:2 (1994), 371–425
22.	V. V. Shokurov, “Shimura integrals of cusp forms”, Math. USSR-Izv., 16:3 (1981), 603–646
23.	V. V. Shokurov, “The study of the homology of Kuga varieties”, Math. USSR-Izv., 16:2 (1981), 399–418
24.	V. V. Shokurov, “Modular symbols of arbitrary weight”, Funct. Anal. Appl., 10:1 (1976), 85–86
25.	Shokurov V. V., “Letters of a bi-rationalist. I. A projectivity criterion”, Birational algebraic geometry (1996, Baltimore, MD), Contemp. Math., 207, Amer. Math. Soc., Providence, RI, 1997, 143–152	7 ^[x]
26.	V. V. Shokurov, “An addendum to the paper “3-fold log flips””, Russian Acad. Sci. Izv. Math., 43:3 (1994), 527–558
27.	Shokurov V. V., “Algebraic curves and their Jacobians”, Algebraic geometry, III, Encyclopaedia Math. Sci., 36, Springer, Berlin, 1998, 219–270	6 ^[x]
28.	V. V. Shokurov, “Periods of cusp forms, and Kuga varieties”, Uspekhi Mat. Nauk, 30:3(183) (1975), 183–184
29.	A. A. Borisov, V. V. Shokurov, “Directional Rational Approximations with Some Applications to Algebraic Geometry”, Proc. Steklov Inst. Math., 240 (2003), 66–74
30.	C. Birkar, V. V. Shokurov, “Mld's vs thresholds and flips”, J. Reine Angew. Math., 638 (2010), 209–234	4 ^[x]
31.	V. V. Shokurov, “On the closed cone of curves of algebraic 3-folds”, Math. USSR-Izv., 24:1 (1985), 193–198
32.	V. V. Shokurov, “Algebraic curves and their Jacobians”, Algebraic geometry – 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 36, VINITI, Moscow, 1989, 233–273
33.	V. V. Shokurov, “A criterion for semiampleness”, Izv. Math., 81:4 (2017), 827–887
34.	V. V. Shokurov, “Riemann surfaces and algebraic curves”, Algebraic geometry – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 23, VINITI, Moscow, 1988, 5–171
35.	V. V. Shokurov, “Skrepa morphisms”, Pure Appl. Math. Q., 16:1 (2020), 35–124	1 ^[x]
36.	J. Liu, V. V. Shokurov, “Optimal bounds on surfaces”, Algebraic Geometry and Physics (to appear) , arXiv: 2305.19248
37.	V. V. Shokurov, “Manin's Work in Birational Geometry”, Arithmetic and Algebraic Geometry, Simons Symp., Springer, Cham, 2024, 367–387
38.	Izv. Math., 87:3 (2023), 616–640
39.	V. V. Shokurov, Log adjunction: moduli part, 2021 , 24 pp., arXiv: 2111.01310
40.	F. Ambro, P. Cascini, V. Shokurov and C. Spicer, Positivity of the moduli part, 2021 , 32 pp., arXiv: 2111.00423
41.	V. V. Shokurov, Existence and bondedness of $n$-complements, 2020 , 218 pp., arXiv: 2012.06495
42.	V. V. Shokurov, Biratsionalnaya geometriya i chislennye invarianty algebraicheskikh mnogoobrazii, Globus, Obschematematicheskii seminar, 6, eds. M. A. Tsfasman, V. V. Prasolov, MTsNMO, M., 2013 , 31 pp.
43.	V. V. Shokurov, Log adjunction: effectiveness and positivity, 2013 , 51 pp., arXiv: 1308.5160
44.	Y. Chen, V. Shokurov, “Strong rational connectedness of toric varieties”, Math. Res. Lett., 18:6 (2011), 1227–1237 , arXiv: 0905.1430
45.	V. I. Danilov, V. V. Shokurov, Algebraic curves, algebraic manifolds and schemes, Springer, 2009 (kitaiskoe izdanie)
46.	V. V. Shokurov, “Svoistvo BP diviorialnogo prisoedineniya”, Tezisy dokladov Mezhdunarodnoi algebraicheskoi konferentsii k 100-letiyu so dnya rozhdeniya A. G. Kurosha, Izd-vo mekhaniko-matematicheskogo fakulteta MGU, M., 2008, 259–260
47.	Birkar Caucher, V. V. Shokurov, Mld's vs thresholds and flips, 2006 , 41 pp., arXiv: math/0609539
48.	Shokurov Vyacheslav V., “Letters of a bi-rationalist. IV. Geometry of log flips”, Algebraic geometry, de Gruyter, Berlin, 2002, 313–328
49.	Danilov V. I., Shokurov V. V., Algebraic curves, algebraic manifolds and schemes, Translated from the 1988 Russian original by D. Coray and V. N. Shokurov; Translation edited and with an introduction by I. R. Shafarevich; Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [Algebraic geometry. I, Encyclopaedia Math. Sci., 23, Springer, Berlin, 1994], Springer-Verlag, Berlin, 1998 , vi+307 pp.
50.	Shokurov V. V., “Numerical geometry of algebraic varieties”, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (1986, Berkeley, Calif.), Amer. Math. Soc., Providence, RI, 1987, 672–681
51.	Shokurov V. V., “Extremal contractions of three-dimensional algebraic varieties”, The birational geometry of algebraic varieties (Russian), no. 203, Yaroslav. Gos. Ped. Inst., Yaroslavl', 1983, 74–90, 102
52.	Bočvar D. A., Šokurov V. V., “Behavior of the likelihood functional for “tertium non datur” in certain sequences of logical matrices”, Studies in nonclassical logics and set theory (Russian), “Nauka”, Moscow, 1979, 330–344
53.	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
54.	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
55.	S. O. Gorchinskiy, Vik. S. Kulikov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, V. L. Popov, N. A. Tyurin, G. B. Shabat, A. I. Shafarevich, V. V. Shokurov, “Igor Rostislavovich Shafarevich (on the centenary of his birthday)”, Russian Math. Surveys, 78:6 (2023), 1167–1178
56.	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
57.	V. A. Iskovskikh, V. V. Shokurov, “Preface”, Proc. Steklov Inst. Math., 240 (2003), 1–3
58.	A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 45:5(275) (1990), 213
59.	A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 43:4(262) (1988), 252
60.	V. A. Alexeev, S. O. Gorchinskiy, M. G. Zaidenberg, A. G. Kuznetsov, J. McKernan, S. Mori, D. O. Orlov, V. V. Przyjalkowski, N. A. Tyurin, A. I. Shafarevich, V. V. Shokurov, C. A. Shramov, “Yurii Gennadievich Prokhorov (on his sixtieth birthday)”, Russian Math. Surveys, 80:4 (2025), 733–741
61.	Biratsionalnaya geometriya: lineinye sistemy i konechno porozhdennye algebry, Sbornik statei, Trudy MIAN, 240, ed. V. A. Iskovskikh, V. V. Shokurov, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2003 , 239 pp.

Presentations in Math-Net.Ru

1.	Complements and thresholds in dimension 2 V. V. Shokurov Shafarevich Seminar May 20, 2025 15:00
2.	Effectivity of complements in dimension 2 V. V. Shokurov One-Day Conference Dedicated to the Memory of V. A. Iskovskikh December 26, 2024 16:45
3.	Boundedness, efficiency and optimum V. V. Shokurov Iskovskikh Seminar May 30, 2024 16:45
4.	Optimal complements on algebraic surfaces Vyacheslav Shokurov Conference “Birational geometry and Fano varieties” dedicated to Yu.G. Prokhorov 60th anniversary March 13, 2024 16:15
5.	3D birational geometry and special classes of conic bundles V. V. Shokurov Sino-Russian Hybrid Conference "Geometry and Physics" August 31, 2023 11:15
6.	Ограниченность и оптимальность инвариантов алгебраических поверхностей V. V. Shokurov Conference on algebra, algebraic geometry, and number theory on the occasion of academician Igor Rostislavovich Shafarevich 100th birthday June 8, 2023 12:20
7.	Lecture 10. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" April 18, 2023 18:00
8.	Lecture 9. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" April 11, 2023 18:00
9.	Lecture 8. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" April 4, 2023 18:00
10.	Lecture 7. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" March 28, 2023 18:00
11.	Lecture 6. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" March 21, 2023 18:00
12.	Lecture 5. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" March 14, 2023 18:00
13.	Lecture 4. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" March 7, 2023 18:00
14.	Lecture 3. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" February 28, 2023 18:00
15.	Lecture 2. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" February 21, 2023 18:00
16.	Бирациональная жесткость трехмерных расслоений на коники V. V. Shokurov Conference "Remembering Yuri Ivanovich Manin" February 16, 2023 15:30
17.	Lecture 1. Birational geometry of algebraic surfaces V. V. Shokurov Course by V. V. Shokurov "Birational geometry of algebraic surfaces" February 14, 2023 18:00
18.	Central models of algebraic varieties V. V. Shokurov Shafarevich Seminar December 20, 2022 15:00
19.	Введение в $b$-дивизоры V. V. Shokurov Geometry, Algebra and Representation theory July 3, 2022 16:30
20.	Moduli part of adjunction: birational properties V. V. Shokurov “Algebra, algebraic geometry, and number theory”. Memorial conference for academician Igor Rostislavovich Shafarevich June 6, 2022 15:30
21.	Positivity of moduli part of adjunction V. V. Shokurov Conference in honour of Alexey Bondal's 60th birthday December 17, 2021 17:30
22.	Moduli part of adjunction V. V. Shokurov Conference on Birational Geometry "Shokurov 70+1" May 18, 2021 16:00
23.	Application of complements Vyacheslav Shokurov "Birational Geometry and Fano varieties" dedicated to V. Iskovskikh June 24, 2019 16:00
24.	Введение в современную бирациональную алгебраическую геометрию V. V. Shokurov May 23, 2019 18:30
25.	Boundedness of $n$-complements V. V. Shokurov Iskovskikh Seminar March 21, 2019
26.	Дополнения и ограниченность V. V. Shokurov One-day conference dedicated to the memory of V. A. Iskovskikh December 27, 2018 16:45
27.	Boundedness and existence of $n$-complements V. V. Shokurov Shafarevich Seminar August 28, 2018 15:00
28.	Log canonical complements and a,\alpha-invariants V. V. Shokurov Shafarevich Seminar June 13, 2017 15:00
29.	Проблемы рациональности в алгебраической геометрии. Лекция 16 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov April 19, 2017 18:00
30.	Проблемы рациональности в алгебраической геометрии. Лекция 15 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov April 12, 2017 18:00
31.	Проблемы рациональности в алгебраической геометрии. Лекция 14 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov March 29, 2017 18:00
32.	Проблемы рациональности в алгебраической геометрии. Лекция 13 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov March 22, 2017 18:00
33.	Проблемы рациональности в алгебраической геометрии. Лекция 12 V. V. Shokurov March 1, 2017 18:00
34.	Проблемы рациональности в алгебраической геометрии. Лекция 11 V. V. Shokurov February 15, 2017 18:00
35.	Модификация как индуктивный предел V. V. Shokurov Shafarevich Seminar May 17, 2016 15:00
36.	Собор, скрепы и пр V. V. Shokurov Shafarevich Seminar June 23, 2015 16:00
37.	One more semiampleness criterion V. V. Shokurov One-day conference dedicated to the memory of V. A. Iskovskikh December 23, 2014 11:40
38.	Заседание, посвященное памяти Василия Алексеевича Исковских L. Katzarkov, D. O. Orlov, V. V. Przyjalkowski, Yu. G. Prokhorov, V. V. Shokurov Meetings of the Moscow Mathematical Society December 9, 2014
39.	Бирациональная геометрия и модули V. V. Shokurov Shafarevich Seminar September 3, 2013 15:00
40.	Минимальные стандартные расслоения на коники V. V. Shokurov Shafarevich Seminar January 15, 2013 15:00
41.	Limits of polarized models V. V. Shokurov International conference "KUL!FEST" dedicated to the 60th anniversary of Vik. S. Kulikov December 7, 2012 16:00
42.	Строгая рациональная связность торических многообразий V. V. Shokurov Weekly seminar of Laboratory of algebraic geometry December 2, 2011 17:00
43.	Semiampleness of adjunction Vyacheslav Shokurov Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin (24.02.1940 – 27.10.2002) October 25, 2011 16:10
44.	Модули и бирациональная геометрия V. V. Shokurov Seminar by Algebra Department December 21, 2010 15:00
45.	Бирациональные инварианты алгебраических многообразий V. V. Shokurov Seminar by Algebra Department May 18, 2010 15:00
46.	Жесткость и подвижность в бирациональной геометрии (продолжение) V. V. Shokurov Seminar by Algebra Department December 29, 2009 15:00
47.	Жесткость и подвижность в бирациональной геометрии V. V. Shokurov Seminar by Algebra Department December 22, 2009 15:00
48.	Open ceremony D. O. Orlov, A. G. Sergeev, A. N. Parshin, M. Reid, V. V. Shokurov International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh June 29, 2009 10:00
49.	Граничное свойство дивизориального присоединения V. V. Shokurov Seminar by Algebra Department May 19, 2009 15:00
50.	Сильная рациональная связность на алгебраических многообразиях V. V. Shokurov Seminar by Algebra Department December 16, 2008 15:00
51.	Termination in the Minimal Model Program of algebraic varietes V. V. Shokurov Steklov Mathematical Institute Seminar June 26, 2008 16:00
52.	Присоединения лог-дивизоров V. V. Shokurov Seminar by Algebra Department September 5, 2006
53.	Модели и обрыв V. V. Shokurov Seminar by Algebra Department June 27, 2006
54.	Минимальные дискрепанты и обрыв перестроек V. V. Shokurov Seminar by Algebra Department January 24, 2006

Books in Math-Net.Ru

Birational geometry: Linear systems and finitely generated algebras, Collected papers, Trudy Mat. Inst. Steklova, 240, ed. V. A. Iskovskikh, V. V. Shokurov, E. F. Mishchenko, 2003, 239 с.
http://mi.mathnet.ru/book253

Organisations