Persons: Iskovskikh, Vasilii Alekseevich

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Iskovskikh, Vasilii Alekseevich
(1939–2009)

Total publications:	85 (74)
in MathSciNet:	73 (64)
in zbMATH:	64 (54)
in Web of Science:	24 (15)
in Scopus:	29 (28)
Cited articles:	45
Citations:	1098
Presentations:	6

Number of views:
This page:	8428
Abstract pages:	33619
Full texts:	15393
References:	1717

Corresponding member of RAS

Professor

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.

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

https://www.mathnet.ru/eng/person8454

List of publications on Google Scholar

https://zbmath.org/authors/?q=ai:iskovskikh.vasily-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/196727

https://elibrary.ru/author_items.asp?authorid=5416

Full list of publications:

scientific publications

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

Articles

1.	I. V. Dolgachev, V. A. Iskovskikh, “On elements of prime order in the plane Cremona group over a perfect field”, Int. Math. Res. Not. IMRN, 2009, no. 18, 3467–3485	5 ^[x]
2.	I. V. Dolgachev, V. A. Iskovskikh, “Finite subgroups of the plane Cremona group”, Algebra, arithmetic, and geometry, in honor of Yu. I. Manin, Vol. I, Progr. Math., 269, Birkhäuser Boston Inc., Boston, MA, 2009, 443–548
3.	V. A. Iskovskikh, “Two non-conjugate embeddings of $S_3\times Z_2$ into the Cremona group. II”, Algebraic geometry in East Asia (Hanoi, 2005), Adv. Stud. Pure Math., 50, Math. Soc. Japan, Tokyo, 2008, 251–267	7 ^[x]
4.	V. A. Iskovskikh, “O kriterii $k$-ratsionalnosti geometricheski ratsionalnykh poverkhnostei”, Trudy VI Kolmogorovskikh chtenii, T. 6, YaGPU, Yaroslavl, 2008, 21–25
5.	V. A. Iskovskikh, “On finite subgroups of the Cremona group”, Vietnam J. Math., 33, Special Issue (2005), 61–80
6.	V. A. Iskovskikh, V. V. Shokurov, “Birational models and flips”, Russian Math. Surveys, 60:1 (2005), 27–94
7.	V. A. Iskovskikh, “On the factorization of birational mappings”, Chebyshevskiĭ Sb., 5:4(12) (2005), 21–34
8.	V. A. Iskovskikh, “On the Noether–Fano inequalities”, The Fano Conference, Univ. Torino, Turin, 2004, 25–35
9.	V. A. Iskovskikh, “Two Nonconjugate Embeddings of the Group $S_3\times\mathbb Z_2$ into the Cremona Group”, Proc. Steklov Inst. Math., 241 (2003), 93–97
10.	V. A. Iskovskikh, “b-Divisors and Functional Algebras According to Shokurov”, Proc. Steklov Inst. Math., 240 (2003), 4–15
11.	V. A. Iskovskikh, “On Shokurov's Work Prelimiting Flips”, Proc. Steklov Inst. Math., 240 (2003), 16–36
12.	V. A. Iskovskikh, “On the Fujita hypothesis”, J. Math. Sci. (New York), 106:5 (2001), 3286–3301
13.	V. A. Iskovskikh, “Singularities on minimal models of algebraic varieties”, J. Math. Sci. (New York), 106:5 (2001), 3269–3285
14.	V. A. Iskovskikh, “Vanishing theorems”, J. Math. Sci. (New York), 106:5 (2001), 3258–3268
15.	V. A. Iskovskikh, A. V. Pukhlikov, “Birational automorphisms of multidimensional algebraic manifolds”, J. Math. Sci., 82:4 (1996), 3528–3613
16.	V. A. Iskovskikh, “Birational rigidity of Fano hypersurfaces in the framework of Mori theory”, Russian Math. Surveys, 56:2 (2001), 207–291
17.	V. A. Iskovskikh, Yu. G. Prokhorov, “Fano varieties”, Algebraic geometry, V, Encyclopaedia Math. Sci., 47, Springer, Berlin, 1999, 1–247
18.	V. A. Iskovskikh, “A simple proof of the irrationality of a three-dimensional quartic”, Math. Notes, 65:5 (1999), 560–564
19.	V. A. Iskovskikh, “Teoremy ischeznoveniya”, Trudy seminara I. R. Shafarevicha (1996–1998), M., 1998, 27–40
20.	V. A. Iskovskikh, “O gipoteze Fudzhity”, Trudy seminara I. R. Shafarevicha (1996–1998), M., 1998, 62–80
21.	V. A. Iskovskikh, “On the rationality problem for algebraic threefolds”, Proc. Steklov Inst. Math., 218 (1997), 186–227
22.	V. A. Iskovskikh, I. R. Shafarevich, “Algebraic surfaces”, Algebraic geometry, II, Encyclopaedia Math. Sci., 35, Springer, Berlin, 1996, 127–262	16 ^[x]
23.	V. A. Iskovskikh, “Factorization of birational maps of rational surfaces from the viewpoint of Mori theory”, Russian Math. Surveys, 51:4 (1996), 585–652
24.	V. A. Iskovskikh, “A rationality criterion for conic bundles”, Sb. Math., 187:7 (1996), 1021–1038
25.	V. A. Iskovskikh, “On the rationality of three-dimensional Del Pezzo fibrations”, Proc. Steklov Inst. Math., 208 (1995), 115–123
26.	V. A. Iskovskikh, S. L. Tregub, “Relations in the two-dimensional Cremona group over a nonclosed field”, Proc. Steklov Inst. Math., 207 (1995), 111–135
27.	V. A. Iskovskih, A. V. Pukhlikov, “Birational automorphisms of Fano varieties”, Geometry of complex projective varieties (Cetraro, 1990), Sem. Conf., 9, Mediterranean, Rende, 1993, 191–201
28.	V. A. Iskovskikh, F. K. Kabdikairov, S. L. Tregub, “Relations in the two-dimensional Cremona group over a perfect field”, Russian Acad. Sci. Izv. Math., 42:3 (1994), 427–478
29.	V. A. Iskovskih, “Generators in the two-dimensional Cremona group over an unclosed field”, Nova J. Algebra Geom., 1:2 (1992), 165–183
30.	V. A. Iskovskih, “Towards the problem of rationality of conic bundles”, Algebraic geometry (Chicago, IL, 1989), Lecture Notes in Math., 1479, Springer, Berlin, 1991, 50–56	5 ^[x]
31.	V. A. Iskovskikh, S. L. Tregub, “On birational automorphysms of rational surfaces”, Math. USSR-Izv., 38:2 (1992), 251–275
32.	V. A. Iskovskikh, “On the rationality problem for conic bundles”, Math. USSR-Sb., 72:1 (1992), 105–111
33.	V. A. Iskovskikh, “Generators in the two-dimensional Kremona group over a nonclosed field”, Proc. Steklov Inst. Math., 200 (1993), 173–188
34.	V. A. Iskovskikh, “A simple proof of a theorem of Gizatullin”, Proc. Steklov Inst. Math., 183 (1991), 127–133
35.	V. A. Iskovskikh, “Lefschetz theorem”, Encyclopaedia Math., 5, Reidel, Dordrecht, 1990, 389–391
36.	V. A. Iskovskikh, “Lüroth problem”, Encyclopaedia Math., 6, Reidel, Dordrecht, 1990, 51
37.	V. A. Iskovskikh, “Double projection from a line on Fano threefolds of the first kind”, Math. USSR-Sb., 66:1 (1990), 265–284
38.	V. A. Iskovskikh, I. R. Shafarevich, “Algebraic surfaces”, Algebraic geometry – 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 35, VINITI, Moscow, 1989, 131–263
39.	V. A. Iskovskikh, “Problems for Fano threefolds”, Birational Geometry of algebraic varieties. Open problems, Katata, Japan, 1988, 15–17
40.	V. A. Iskovskikh, “Brauer–Severy variety”, Encyclopaedia Math., 1, Reidel, Dordrecht, 1988, 480–481
41.	V. A. Iskovskikh, “Brauer group”, Encyclopaedia Math., 1, Reidel, Dordrecht, 1988, 479–480
42.	V. A. Iskovskikh, “On the rationality problem for conic bundles”, Duke Math. J., 54:2 (1987), 271–294	24 ^[x]
43.	V. A. Iskovskikh, “Proof of a theorem on relations in the two-dimensional Cremona group”, Russian Math. Surveys, 40:5 (1985), 231–232
44.	V. A. Iskovskih, “Algebraic threefolds with special regard to the problem of rationality”, Proceedings of the International Congress of Mathematicians (Warsaw, 1983), Vol. 1, 2, PWN, Warsaw, 1984, 733–746
45.	V. A. Iskovskikh, “Generators and relations in the groups of birational automorphisms of two classes of rational surfaces”, Proc. Steklov Inst. Math., 165 (1985), 73–84
46.	V. A. Iskovskikh, “Generators and relations in a two-dimensional Cremona group”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1983, no. 5, 43–48	5 ^[x]
47.	V. A. Iskovskikh, “Algebraic threefolds (a brief survey)”, Algebra, Moskov. Gos. Univ., Moscow, 1982, 46–78
48.	V. A. Iskovskikh, “Congruences of conics in $\mathbf P^3$”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1982, no. 6, 57–62
49.	V. A. Iskovskikh, “Trekhmernye algebraicheskie mnogoobraziya”, Algebra (sbornik statei), Izd-vo MGU, M., 1982, 46–78
50.	V. A. Iskovskikh, “Biratsionalnye avtomorfizmy trekhmernykh algebraicheskikh mnogoobrazii, blizkikh k ratsionalnym”, Algebra (sbornik statei), Izd-vo MGU, M., 1980, 40–49
51.	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]
52.	V. A. Iskovskikh, “Minimal models of rational surfaces over arbitrary fields”, Math. USSR-Izv., 14:1 (1980), 17–39
53.	V. A. Iskovskikh, “Birational automorphisms of three-dimensional algebraic varieties”, J. Soviet Math., 13:6 (1980), 815–868
54.	V. A. Iskovskikh, “Anticanonical models of three-dimensional algebraic varieties”, J. Soviet Math., 13:6 (1980), 745–814
55.	V. A. Iskovskikh, “Fano 3-folds. II”, Math. USSR-Izv., 12:3 (1978), 469–506
56.	V. A. Iskovskikh, “On Fano varieties of the first kind”, Russian Math. Surveys, 33:3 (1978), 155–156
57.	V. A. Iskovskih, “Birational automorphisms of the Fano $3$-fold $V_6^3$”, Dokl. Akad. Nauk SSSR, 235:3 (1977), 509–511	2 ^[x]
58.	V. A. Iskovskih, “Birational automorphisms of three-dimensional algebraic varieties”, Dokl. Akad. Nauk SSSR, 234:4 (1977), 743–745
59.	V. A. Iskovskikh, “Fano 3-folds. I”, Math. USSR-Izv., 11:3 (1977), 485–527
60.	I. V. Dolgachev, V. A. Iskovskikh, “Geometry of algebraic varieties”, J. Soviet Math., 5:6 (1976), 803–864
61.	V. A. Iskovskikh, “Verification of the Riemann hypothesis for certain local zeta-functions”, Uspekhi Mat. Nauk, 28:3(171) (1973), 181–182
62.	V. A. Iskovskikh, “Birational properties of a surface of degree 4 in $\mathbf P^4_k$”, Math. USSR-Sb., 17:1 (1972), 30–36
63.	V. A. Iskovskikh, “A counterexample to the Hasse principle for a system of two quadratic forms in five variables”, Math. Notes, 10:3 (1971), 575–577
64.	V. A. Iskovskikh, Yu. I. Manin, “Three-dimensional quartics and counterexamples to the Lüroth problem”, Math. USSR-Sb., 15:1 (1971), 141–166
65.	V. A. Iskovskikh, “Rational surfaces with a pencil of rational curves and with positive square of the canonical class”, Math. USSR-Sb., 12:1 (1970), 91–117
66.	V. A. Iskovskikh, “Rational surfaces with a pencil of rational curves”, Math. USSR-Sb., 3:4 (1967), 563–587
67.	V. A. Iskovskikh, “On birational forms of rational surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965), 1417–1433
Books

68.	Danilov V. I., Iskovskikh V. A., Shafarevich I. R., Cohomology of algebraic varieties. Algebraic surfaces, Springer, 2009 (kitaiskoe izdanie)
69.	V. A. Artamonov, Yu. A. Bakhturin, E. B. Vinberg, E. S. Golod, V. A. Iskovskikh, A. I. Kostrikin, V. N. Latyshev, A. V. Mikhalev, A. P. Mishina, A. Yu. Olshanskii, A. A. Panchishkin, I. V. Proskuryakov, A. N. Rudakov, L. A. Skornyakov , A. L. Shmelkin, Sbornik zadach po algebre, izd. 3-e, ispr. i dop., eds. A. I. Kostrikin, FIZMATLIT, M., 2001 , 464 pp.
70.	V. A. Iskovskikh, Lektsii po trekhmernym algebraicheskim mnogoobraziyam: Mnogoobraziya Fano, Izd-vo MGU, M., 1988 , 163 pp.
Proceedings

71.	V. A. Iskovskikh, “Poryadki konechnykh $l$-grupp v ploskoi gruppe Kremony $Sr_2(k)$ nad polem $k$”, X Belorusskaya matematicheskaya konferentsiya, Tezisy dokladov (3–7 noyabrya 2008, Minsk, Belarus), 2008, 32
ArXiv

72.	I. V. Dolgachev, V. A. Iskovskikh, On elements of prime order in the plane Cremona group over a perfect field, 2007 , 19 pp., arXiv: 0707.4305
73.	I. V. Dolgachev, V. A. Iskovskikh, Finite subgroups of the plane Cremona group, 2006 , 90 pp., arXiv: math/0610595
74.	V. Iskovskikh, Two non-conjugate embeddings of $S_3\times \mathbb Z_2$ into the Cremona group II, 2005 , 13 pp., arXiv: math/0508484
Personalia

75.	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, “Fedor Alekseevich Bogomolov (on his 60th birthday)”, Russian Math. Surveys, 62:6 (2007), 1233–1237
76.	G. I. Arkhipov, V. G. Zhuravlev, V. A. Iskovskikh, A. A. Karatsuba, M. B. Levina-Khripunova, V. N. Chubarikov, A. A. Yudin, “Nikolai Mikhailovich Timofeev (obituary)”, Russian Math. Surveys, 58:4 (2003), 773–776
77.	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, “Andrei Nikolaevich Tyurin (obituary)”, Russian Math. Surveys, 58:3 (2003), 597–605
78.	F. A. Bogomolov, N. I. Dubrovin, V. A. Iskovskikh, V. S. Kulikov, A. N. Parshin, I. R. Shafarevich, “Gennadii Vladimirovich Belyi (obituary)”, Russian Math. Surveys, 57:5 (2002), 981–983
79.	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, “Aleksei Ivanovich Kostrikin (obituary)”, Russian Math. Surveys, 56:3 (2001), 559–561
80.	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, “Sergei Mikhailovich Voronin (obituary)”, Russian Math. Surveys, 53:4 (1998), 777–781
81.	V. A. Iskovskikh, A. A. Klyachko, A. I. Kostrikin, B. È. Kunyavskii, A. N. Parshin, S. A. Stepanov, I. R. Shafarevich, “Valentin Evgen'evich Voskresenskii (on his 70th birthday)”, Russian Math. Surveys, 52:6 (1997), 1345–1347
82.	V. G. Drinfeld, V. A. Iskovskikh, A. I. Kostrikin, A. N. Tyurin, I. R. Shafarevich, “Yurii Ivanovich Manin (on his 60th birthday)”, Russian Math. Surveys, 52:4 (1997), 863–873
83.	V. A. Iskovskikh, A. A. Klyachko, A. I. Kostrikin, Yu. I. Manin, A. N. Tyurin, I. R. Shafarevich, “Valentin Evgen'evich Voskresenskii (on his sixtieth birthday)”, Russian Math. Surveys, 43:2 (1988), 201–203
Miscellaneous

84.	V. A. Iskovskikh, V. V. Shokurov, “Preface”, Proc. Steklov Inst. Math., 240 (2003), 1–3
85.	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.	О подгруппах простого порядка в двумерной группе Кремоны $Cr_2(Q)$ V. A. Iskovskikh Seminar by Algebra Department May 15, 2007 15:00
2.	О классификации конечных подгрупп в группе Кремона. II V. A. Iskovskikh Seminar by Algebra Department October 31, 2006
3.	О классификации конечных подгрупп в группе Кремона V. A. Iskovskikh Seminar by Algebra Department October 24, 2006
4.	О двух несопряженных вложениях $S_3\times Z_2$ в группу Кремоны V. A. Iskovskikh Seminar by Algebra Department November 8, 2005
5.	О двух несопряженных вложениях $S_3\times Z_2$ в группу Кремоны V. A. Iskovskikh Seminar by Algebra Department September 20, 2005
6.	Подгруппы в группе Кремоны V. A. Iskovskikh Seminar by Algebra Department May 31, 2005

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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