Persons: Iskovskikh Vasilii Alekseevich

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Iskovskikh Vasilii Alekseevich
(1939–2009)

Statistics Math-Net.Ru
Total publications:	47
Scientific articles:	37
Citations to the author:	395
Cited articles:	33
Citing authors:	41

Number of views:
This page:	2188
Abstract pages:	5121
Full texts:	1703
References:	156

Academic status:

Corresponding member of RAS

Scientific status:

Professor

Scientific degree:

Doctor of physico-mathematical sciences (1980)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Birth date:

1.07.1939

Keywords:

rationality problem; birational rigidity; birational classification.

UDC:

512.76, 512.6, 513.015.7, 513.6, 512.7, 513.628.2, 513.62, 517.518.23

MSC:

14E

Main publications

V. A. Iskovskikh, “Trekhmernye mnogoobraziya Fano. I, II”, Izv. AN SSSR. Ser. matem., 41:3 (1977), 516–562 ; 42:3 (1978), 506–549
V. A. Iskovskikh, Yu. I. Manin, “Trekhmernye kvartiki i kontrprimer k probleme Lyurota”, Matem. sb., 86(128):1(9) (1971), 140–166
V. A. Iskovskikh, “Faktorizatsiya biratsionalnykh otobrazhenii ratsionalnykh poverkhnostei s tochki zreniya teorii Mori”, UMN, 51:4 (1996), 3–72
V. A. Iskovskikh, “Biratsionalnaya zhestkost giperpoverkhnostei Fano v ramkakh teorii Mori”, UMN, 56:2 (2001), 3–86

List of publications on Google Scholar

List of publications on ZentralBlatt

Personal webpage on MathSciNet

Publications in Math-Net.Ru

1.	Birational models and flips V. A. Iskovskikh, V. V. Shokurov Uspekhi Mat. Nauk, 2005, 60:1(361), 29–98
2.	Two Nonconjugate Embeddings of the Group $S_3\times\mathbb Z_2$ into the Cremona Group V. A. Iskovskikh Tr. Mat. Inst. Steklova, 2003, 241, 105–109
3.	On Shokurov's Work \textit {Prelimiting Flips} V. A. Iskovskikh Tr. Mat. Inst. Steklova, 2003, 240, 21–42
4.	b-Divisors and Functional Algebras According to Shokurov V. A. Iskovskikh Tr. Mat. Inst. Steklova, 2003, 240, 8–20
5.	On the Fujita hypothesis V. A. Iskovskikh Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2001, 70, 78–102
6.	Singularities on minimal models of algebraic varieties V. A. Iskovskikh Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2001, 70, 51–77
7.	Теоремы обращения в нуль V. A. Iskovskikh Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2001, 70, 34–50
8.	Birational automorphisms of multidimensional algebraic manifolds V. A. Iskovskikh, A. V. Pukhlikov Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2001, 19, 5–139
9.	Birational rigidity of Fano hypersurfaces in the framework of Mori theory V. A. Iskovskikh Uspekhi Mat. Nauk, 2001, 56:2(338), 3–86
10.	A simple proof of the irrationality of a three-dimensional quartic V. A. Iskovskikh Mat. Zametki, 1999, 65:5, 667–673
11.	On the rationality problem for algebraic threefolds V. A. Iskovskikh Tr. Mat. Inst. Steklova, 1997, 218, 190–232
12.	Factorization of birational maps of rational surfaces from the viewpoint of Mori theory V. A. Iskovskikh Uspekhi Mat. Nauk, 1996, 51:4(310), 3–72
13.	A rationality criterion for conic bundles V. A. Iskovskikh Mat. Sb., 1996, 187:7, 75–92
14.	On the rationality of three-dimensional Del Pezzo fibrations V. A. Iskovskikh Trudy Mat. Inst. Steklov., 1995, 208, 128–138
15.	Relations in the two-dimensional Cremona group over a nonclosed field V. A. Iskovskikh, S. L. Tregub Trudy Mat. Inst. Steklov., 1994, 207, 123–152
16.	Relations in the two-dimensional Cremona group over a perfect field V. A. Iskovskikh, F. K. Kabdikairov, S. L. Tregub Izv. RAN. Ser. Mat., 1993, 57:3, 3–69
17.	On birational automorphysms of rational surfaces V. A. Iskovskikh, S. L. Tregub Izv. Akad. Nauk SSSR Ser. Mat., 1991, 55:2, 254–281
18.	On the rationality problem for conic bundles V. A. Iskovskikh Mat. Sb., 1991, 182:1, 114–121
19.	Generators in the two-dimensional Kremona group over a nonclosed field V. A. Iskovskikh Trudy Mat. Inst. Steklov., 1991, 200, 157–170
20.	A simple proof of a theorem of Gizatullin V. A. Iskovskikh Trudy Mat. Inst. Steklov., 1990, 183, 111–116
21.	Algebraic surfaces V. A. Iskovskikh, I. R. Shafarevich Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1989, 35, 131–263
22.	Double projection from a line on Fano threefolds of the first kind V. A. Iskovskikh Mat. Sb., 1989, 180:2, 260–278
23.	Proof of a theorem on relations in the two-dimensional Cremona group V. A. Iskovskikh Uspekhi Mat. Nauk, 1985, 40:5(245), 255–256
24.	Generators and relations in the groups of birational automorphisms of two classes of rational surfaces V. A. Iskovskikh Trudy Mat. Inst. Steklov., 1984, 165, 67–78
25.	Minimal models of rational surfaces over arbitrary fields V. A. Iskovskikh Izv. Akad. Nauk SSSR Ser. Mat., 1979, 43:1, 19–43
26.	Birational automorphisms of three-dimensional algebraic varieties V. A. Iskovskikh Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 1979, 12, 159–236
27.	Anticanonical models of three-dimensional algebraic varieties V. A. Iskovskikh Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 1979, 12, 59–157
28.	Fano 3-folds. II V. A. Iskovskikh Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42:3, 506–549
29.	On Fano varieties of the first kind V. A. Iskovskikh Uspekhi Mat. Nauk, 1978, 33:3(201), 171–172
30.	Fano 3-folds. I V. A. Iskovskikh Izv. Akad. Nauk SSSR Ser. Mat., 1977, 41:3, 516–562
31.	Geometry of algebraic varieties I. V. Dolgachev, V. A. Iskovskikh Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 1974, 12, 77–170
32.	Verification of the Riemann hypothesis for certain local zeta-functions V. A. Iskovskikh Uspekhi Mat. Nauk, 1973, 28:3(171), 181–182
33.	Birational properties of a surface of degree 4 in $\mathbf P^4_k$ V. A. Iskovskikh Mat. Sb. (N.S.), 1972, 88(130):1(5), 31–37
34.	Three-dimensional quartics and counterexamples to the Lüroth problem V. A. Iskovskikh, Yu. I. Manin Mat. Sb. (N.S.), 1971, 86(128):1(9), 140–166
35.	Rational surfaces with a pencil of rational curves and with positive square of the canonical class V. A. Iskovskikh Mat. Sb. (N.S.), 1970, 83(125):1(9), 90–119
36.	Rational surfaces with a pencil of rational curves V. A. Iskovskikh Mat. Sb. (N.S.), 1967, 74(116):4, 608–638
37.	On birational forms of rational surfaces V. A. Iskovskikh Izv. Akad. Nauk SSSR Ser. Mat., 1965, 29:6, 1417–1433

38.	Fedor Alekseevich Bogomolov (on his 60th birthday) V. A. Vassiliev, Yu. G. Zarhin, V. A. Iskovskikh, D. B. Kaledin, Vik. S. Kulikov, Yu. I. Manin, D. O. Orlov, A. N. Parshin, I. R. Shafarevich Uspekhi Mat. Nauk, 2007, 62:6(378), 193–197
39.	Nikolai Mikhailovich Timofeev (obituary) G. I. Arkhipov, V. G. Zhuravlev, V. A. Iskovskikh, A. A. Karatsuba, M. B. Levina-Khripunova, V. N. Chubarikov, A. A. Yudin Uspekhi Mat. Nauk, 2003, 58:4(352), 135–138
40.	Andrei Nikolaevich Tyurin (obituary) F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich Uspekhi Mat. Nauk, 2003, 58:3(351), 176–182
41.	Preface V. A. Iskovskikh, V. V. Shokurov Tr. Mat. Inst. Steklova, 2003, 240, 5–7
42.	Gennadii Vladimirovich Belyi (obituary) F. A. Bogomolov, N. I. Dubrovin, V. A. Iskovskikh, V. S. Kulikov, A. N. Parshin, I. R. Shafarevich Uspekhi Mat. Nauk, 2002, 57:5(347), 139–140
43.	Aleksei Ivanovich Kostrikin (obituary) È. B. Vinberg, E. S. Golod, E. I. Zel'manov, V. A. Iskovskikh, V. N. Latyshev, Yu. I. Manin, A. V. Mikhalev, A. N. Parshin, I. R. Shafarevich Uspekhi Mat. Nauk, 2001, 56:3(339), 143–145
44.	Sergei Mikhailovich Voronin (obituary) G. I. Arkhipov, V. I. Blagodatskikh, A. A. Bolibrukh, V. A. Iskovskikh, A. A. Karatsuba, Yu. V. Prokhorov, A. T. Fomenko, V. N. Chubarikov, I. R. Shafarevich Uspekhi Mat. Nauk, 1998, 53:4(322), 125–128
45.	Valentin Evgen'evich Voskresenskii (on his 70th birthday) V. A. Iskovskikh, A. A. Klyachko, A. I. Kostrikin, B. È. Kunyavskii, A. N. Parshin, S. A. Stepanov, I. R. Shafarevich Uspekhi Mat. Nauk, 1997, 52:6(318), 201–202
46.	Yurii Ivanovich Manin (on his 60th birthday) V. G. Drinfeld, V. A. Iskovskikh, A. I. Kostrikin, A. N. Tyurin, I. R. Shafarevich Uspekhi Mat. Nauk, 1997, 52:4(316), 233–242
47.	Valentin Evgen'evich Voskresenskii (on his sixtieth birthday) V. A. Iskovskikh, A. A. Klyachko, A. I. Kostrikin, Yu. I. Manin, A. N. Tyurin, I. R. Shafarevich Uspekhi Mat. Nauk, 1988, 43:2(260), 169–170

Книги в базе данных Math-Net.Ru

Birational geometry: Linear systems and finitely generated algebras, Collected papers, Tr. 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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