Persons: Shokurov, Vyacheslav Vladimirovich

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Shokurov, Vyacheslav Vladimirovich

Statistics Math-Net.Ru
in MathSciNet:	45 (41)
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.	J. Han, J. Liu, V. V. Shokurov, “ACC for minimal log Discrepancies of exceptional singularities”, Peking Mathematical Journal (Published online)
2.	J. Liu, V. V. Shokurov, “Optimal bounds on surfaces”, Algebraic Geometry and Physiscs (to appear) , arXiv: 2305.19248

2025
3.	V. V. Shokurov, “Manin's work in birational geometry”, Chapter 8, 21pp, Arithmetic and Algebraic Geometry, Simons Simposia, eds. Y. Tschinkel, Springer, 2025 (to appear)

2023
4.	Izv. Math., 87:3 (2023), 616–640
5.	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

2021
6.	V. V. Shokurov, Log adjunction: moduli part, 2021 , 24 pp., arXiv: 2111.01310
7.	F. Ambro, P. Cascini, V. Shokurov and C. Spicer, Positivity of the moduli part, 2021 , 32 pp., arXiv: 2111.00423

2020
8.	V. V. Shokurov, “Skrepa morphisms”, Pure Appl. Math. Q., 16:1 (2020), 35–124 ;	1 ^[x]
9.	V. V. Shokurov, Existence and bondedness of $n$-complements, 2020 , 218 pp., arXiv: 2012.06495

2019
10.	J. Han, J. Liu, V. V. Shokurov, Acc for minimal log discrepancies of exceptional singularities, 2019 , 57 pp., arXiv: 1903.04338

2017
11.	V. V. Shokurov, “A criterion for semiampleness”, Izv. Math., 81:4 (2017), 827–887

2013
12.	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.
13.	V. V. Shokurov, Log adjunction: effectiveness and positivity, 2013 , 51 pp., arXiv: 1308.5160
14.	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

2011
15.	Y. Chen, V. Shokurov, “Strong rational connectedness of toric varieties”, Math. Res. Lett., 18:6 (2011), 1227–1237 , arXiv: 0905.1430
16.	V. Shokurov, S. R. Choi, “Geography of log models: theory and applications”, Cent. Eur. J. Math., 9:3 (2011), 489–534	15 ^[x]

2010
17.	C. Birkar, V. V. Shokurov, “Mld's vs thresholds and flips”, J. Reine Angew. Math., 638 (2010), 209–234	3 ^[x]

2009
18.	Yu. G. Prokhorov, V. V. Shokurov, “Towards the second main theorem on complements”, J. Algebraic Geom., 18:1 (2009), 151–199	70 ^[x]
19.	V. V. Shokurov, “Letters of a Bi-rationalist. VII Ordered Termination”, Proc. Steklov Inst. Math., 264 (2009), 178–200
20.	V. I. Danilov, V. V. Shokurov, Algebraic curves, algebraic manifolds and schemes, Springer, 2009 (kitaiskoe izdanie)
21.	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
22.	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

2006
23.	Birkar Caucher, V. V. Shokurov, Mld's vs thresholds and flips, 2006 , 41 pp., arXiv: math/0609539

2005
24.	V. A. Iskovskikh, V. V. Shokurov, “Birational models and flips”, Russian Math. Surveys, 60:1 (2005), 27–94

2004
25.	V. V. Shokurov, “Letters of a Bi-rationalist V: Mld's and Termination of Log Flips”, Proc. Steklov Inst. Math., 246 (2004), 315–336

2003
26.	A. A. Borisov, V. V. Shokurov, “Directional Rational Approximations with Some Applications to Algebraic Geometry”, Proc. Steklov Inst. Math., 240 (2003), 66–74
27.	Proc. Steklov Inst. Math., 240 (2003), 75–213
28.	V. A. Iskovskikh, V. V. Shokurov, “Preface”, Proc. Steklov Inst. Math., 240 (2003), 1–3
29.	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.

2002
30.	Shokurov Vyacheslav V., “Letters of a bi-rationalist. IV. Geometry of log flips”, Algebraic geometry, de Gruyter, Berlin, 2002, 313–328

2001
31.	Yu. G. Prokhorov, V. V. Shokurov, “The first main theorem on complements: from global to local”, Izv. Math., 65:6 (2001), 1169–1196

1996
32.	V. V. Shokurov, “3-Fold log models”, J. Math. Sci., 81:3 (1996), 2667–2699

2000
33.	Shokurov V. V., “Complements on surfaces”, Algebraic geometry, 10, J. Math. Sci. (New York), 102:2 (2000), 3876–3932	55 ^[x]
34.	V. V. Shokurov, “On Rational Connectedness”, Math. Notes, 68:5 (2000), 652–660

1999
35.	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

1998
36.	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.
37.	Shokurov V. V., “Algebraic curves and their Jacobians”, Algebraic geometry, III, Encyclopaedia Math. Sci., 36, Springer, Berlin, 1998, 219–270	6 ^[x]

1997
38.	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	6 ^[x]

1994
39.	V. V. Shokurov, “An addendum to the paper “3-fold log flips””, Russian Acad. Sci. Izv. Math., 43:3 (1994), 527–558
40.	Russian Acad. Sci. Izv. Math., 42:2 (1994), 371–425

1993
41.	V. V. Shokurov, “Three-fold log flips”, Russian Acad. Sci. Izv. Math., 40:1 (1993), 95–202

1990
42.	A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 45:5(275) (1990), 213

1989
43.	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

1988
44.	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
45.	A. S. Tikhomirov, V. V. Shokurov, “Workshop on algebraic geometry”, Uspekhi Mat. Nauk, 43:4(262) (1988), 252

1987
46.	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

1986
47.	V. V. Shokurov, “The nonvanishing theorem”, Math. USSR-Izv., 26:3 (1986), 591–604

1985
48.	V. V. Shokurov, “On the closed cone of curves of algebraic 3-folds”, Math. USSR-Izv., 24:1 (1985), 193–198

1983
49.	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

1984
50.	V. V. Shokurov, “Prym varieties: theory and applications”, Math. USSR-Izv., 23:1 (1984), 83–147

1981
51.	Shokurov V. V., “Distinguishing Prymians from Jacobians”, Invent. Math., 65:2 (1981), 209–219	13 ^[x]
52.	V. V. Shokurov, “Shimura integrals of cusp forms”, Math. USSR-Izv., 16:3 (1981), 603–646
53.	V. V. Shokurov, “The study of the homology of Kuga varieties”, Math. USSR-Izv., 16:2 (1981), 399–418

1979
54.	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
55.	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]

1980
56.	V. V. Shokurov, “The existence of a straight line on Fano 3-folds”, Math. USSR-Izv., 15:1 (1980), 173–209
57.	V. V. Shokurov, “Smoothness of the general anticanonical divisor on a Fano 3-fold”, Math. USSR-Izv., 14:2 (1980), 395–405

1976
58.	V. V. Shokurov, “Modular symbols of arbitrary weight”, Funct. Anal. Appl., 10:1 (1976), 85–86
59.	V. V. Shokurov, “Holomorphic differential forms of higher degree on Kuga's modular varieties”, Math. USSR-Sb., 30:1 (1976), 119–142

1975
60.	V. V. Shokurov, “Periods of cusp forms, and Kuga varieties”, Uspekhi Mat. Nauk, 30:3(183) (1975), 183–184

1971
61.	V. V. Shokurov, “The Noether–Enriques theorem on canonical curves”, Math. USSR-Sb., 15:3 (1971), 361–403

Presentations in Math-Net.Ru

1.	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
2.	Boundedness, efficiency and optimum V. V. Shokurov Iskovskikh Seminar May 30, 2024 16:45
3.	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
4.	3D birational geometry and special classes of conic bundles V. V. Shokurov Sino-Russian Hybrid Conference "Geometry and Physics" August 31, 2023 11:15
5.	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
6.	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
7.	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
8.	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
9.	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
10.	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
11.	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
12.	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
13.	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
14.	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
15.	Бирациональная жесткость трехмерных расслоений на коники V. V. Shokurov Conference "Remembering Yuri Ivanovich Manin" February 16, 2023 15:30
16.	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
17.	Central models of algebraic varieties V. V. Shokurov Shafarevich Seminar December 20, 2022 15:00
18.	Введение в $b$-дивизоры V. V. Shokurov Geometry, Algebra and Representation theory July 3, 2022 16:30
19.	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
20.	Positivity of moduli part of adjunction V. V. Shokurov Conference in honour of Alexey Bondal's 60th birthday December 17, 2021 17:30
21.	Moduli part of adjunction V. V. Shokurov Conference on Birational Geometry "Shokurov 70+1" May 18, 2021 16:00
22.	Application of complements Vyacheslav Shokurov "Birational Geometry and Fano varieties" dedicated to V. Iskovskikh June 24, 2019 16:00
23.	Введение в современную бирациональную алгебраическую геометрию V. V. Shokurov May 23, 2019 18:30
24.	Boundedness of $n$-complements V. V. Shokurov Iskovskikh Seminar March 21, 2019
25.	Дополнения и ограниченность V. V. Shokurov One-day conference dedicated to the memory of V. A. Iskovskikh December 27, 2018 16:45
26.	Boundedness and existence of $n$-complements V. V. Shokurov Shafarevich Seminar August 28, 2018 15:00
27.	Log canonical complements and a,\alpha-invariants V. V. Shokurov Shafarevich Seminar June 13, 2017 15:00
28.	Проблемы рациональности в алгебраической геометрии. Лекция 16 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov April 19, 2017 18:00
29.	Проблемы рациональности в алгебраической геометрии. Лекция 15 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov April 12, 2017 18:00
30.	Проблемы рациональности в алгебраической геометрии. Лекция 14 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov March 29, 2017 18:00
31.	Проблемы рациональности в алгебраической геометрии. Лекция 13 Yu. G. Prokhorov, V. V. Shokurov, K. A. Shramov March 22, 2017 18:00
32.	Проблемы рациональности в алгебраической геометрии. Лекция 12 V. V. Shokurov March 1, 2017 18:00
33.	Проблемы рациональности в алгебраической геометрии. Лекция 11 V. V. Shokurov February 15, 2017 18:00
34.	Модификация как индуктивный предел V. V. Shokurov Shafarevich Seminar May 17, 2016 15:00
35.	Собор, скрепы и пр V. V. Shokurov Shafarevich Seminar June 23, 2015 16:00
36.	One more semiampleness criterion V. V. Shokurov One-day conference dedicated to the memory of V. A. Iskovskikh December 23, 2014 11:40
37.	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
38.	Бирациональная геометрия и модули V. V. Shokurov Shafarevich Seminar September 3, 2013 15:00
39.	Минимальные стандартные расслоения на коники V. V. Shokurov Shafarevich Seminar January 15, 2013 15:00
40.	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
41.	Строгая рациональная связность торических многообразий V. V. Shokurov Weekly seminar of Laboratory of algebraic geometry December 2, 2011 17:00
42.	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
43.	Модули и бирациональная геометрия V. V. Shokurov Seminar by Algebra Department December 21, 2010 15:00
44.	Бирациональные инварианты алгебраических многообразий V. V. Shokurov Seminar by Algebra Department May 18, 2010 15:00
45.	Жесткость и подвижность в бирациональной геометрии (продолжение) V. V. Shokurov Seminar by Algebra Department December 29, 2009 15:00
46.	Жесткость и подвижность в бирациональной геометрии V. V. Shokurov Seminar by Algebra Department December 22, 2009 15:00
47.	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
48.	Граничное свойство дивизориального присоединения V. V. Shokurov Seminar by Algebra Department May 19, 2009 15:00
49.	Сильная рациональная связность на алгебраических многообразиях V. V. Shokurov Seminar by Algebra Department December 16, 2008 15:00
50.	Termination in the Minimal Model Program of algebraic varietes V. V. Shokurov Steklov Mathematical Institute Seminar June 26, 2008 16:00
51.	Присоединения лог-дивизоров V. V. Shokurov Seminar by Algebra Department September 5, 2006
52.	Модели и обрыв V. V. Shokurov Seminar by Algebra Department June 27, 2006
53.	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

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