01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
13.04.1952
E-mail:
Keywords:
algebraic surfaces,
period map,
fundamental groups,
Hurwitz curves,
semigroup,
factorizations of elements of a group,
irreducible components of Hurwitz space.
Vik. S. Kulikov, P. F. Kurchanov, “Complex algebraic varieties: periods of integrals and Hodge structures”, Algebraic Geometry III, Encyclopediya Math. Sci., 36, Springer, Berlin, 1998, 1–217
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
6.
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
2022
7.
Vik. S. Kulikov, “A Chisini Theorem for almost generic covers of the projective plane”, Sb. Math., 213:3 (2022), 341–356
2021
8.
Vik. S. Kulikov, “Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs”, Sb. Math., 212:9 (2021), 1304–1328
2020
9.
Vik. S. Kulikov, “On rigid germs of finite morphisms of smooth surfaces”, Sb. Math., 211:10 (2020), 1354–1381
10.
Viktor S. Kulikov, “On the almost generic covers of the projective plane”, Pure Appl. Math. Q., 16:4 (2020), 1067–1082 , arXiv: 1812.01313;
Vik. S. Kulikov, “On the variety of the inflection points of plane cubic curves”, Izv. Math., 83:4 (2019), 770–795
12.
Vik. S. Kulikov, “On Germs of Finite Morphisms of Smooth Surfaces”, Proc. Steklov Inst. Math., 307 (2019), 85–114
13.
S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21
14.
V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933
15.
Algebra, teoriya chisel i algebraicheskaya geometriya, Sbornik statei. Posvyaschaetsya pamyati akademika Igorya Rostislavovicha Shafarevicha, Trudy MIAN, 307, ed. A. N. Parshin, V. L. Popov, S. O. Gorchinskii, Vik. S. Kulikov, MIAN, M., 2019 , 328 pp.
2018
16.
Vik. S. Kulikov, “On divisors of small canonical degree on Godeaux surfaces”, Sb. Math., 209:8 (2018), 1155–1163
17.
Vik. S. Kulikov, On the variety of the inflection points of plane cubic curves, 2018 , 27 pp., arXiv: 1810.01705
18.
Vik. S. Kulikov, G. B. Shabat, “Igor Rostislavovich Shafarevich – velikii matematik i Uchitel”, Matematicheskoe prosveschenie, 2018, Tretya seriya, no. 22, 37–63
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
20.
Vik. S. Kulikov, E. I. Shustin, “On $G$-Rigid Surfaces”, Proc. Steklov Inst. Math., 298 (2017), 133–151
21.
Vik. S. Kulikov, “The Hesse curve of a Lefschetz pencil of plane curves”, Russian Math. Surveys, 72:3 (2017), 574–576
2016
22.
Viktor S. Kulikov, Eugenii Shustin, “On rigid plane curves”, Eur. J. Math., 2:1 (2016), 208–226 , arXiv: 1501.03777
Vik. S. Kulikov, “Plane rational quartics and K3 surfaces”, Proc. Steklov Inst. Math., 294 (2016), 95–128
24.
Vik. S. Kulikov, “K3 poverkhnosti s deistviyami gruppy $S_4$ i ratsionalnye kvartiki”, Mezhdunarodnaya konferentsiya po algebraicheskoi geometrii, kompleksnomu analizu i kompyuternoi algebre (Filial S(A)FU im. M. V. Lomonosova, g. Koryazhma Arkhangelskoi oblasti, Rossiya, 3–9 avgusta 2016 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2016, 40–42http://www.mathnet.ru/ConfLogos/805/thesis.pdf
25.
Vik.S. Kulikov, “A remark on classical Pluecker's formulae”, Ann. Fac. Sci. Toulouse. Math., 25:5 (2016), 959–967 , arXiv: 1101.5042
Vik. S. Kulikov, “O klassicheskikh formulakh Plyukkera”, V Shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii. Tezisy dokladov. (g. Koryazhma Arkhangelskoi oblasti, Filial S(A)FU im. M.V. Lomonosova, 17–22 avgusta 2015 g.), MIAN, M., 2015, 50–54http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf
2014
30.
Vik. S. Kulikov, V. M. Kharlamov, “On numerically pluricanonical cyclic coverings”, Izv. Math., 78:5 (2014), 986–1005
31.
Vik.S. Kulikov, On the Galois groups of the dualizing coverings for plane curves, 2014 , 10 pp., arXiv: 1403.1426
32.
V. S. Kulikov, “Chislenno kratnokanonicheskie tsiklicheskie nakrytiya”, V Rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam (28 sentyabrya – 3 oktyabrya 2014 g., Erevan), Erevan, 2014, 32–33
2013
33.
Vik. S. Kulikov, “Factorizations in finite groups”, Sb. Math., 204:2 (2013), 237–263
34.
Vik. S. Kulikov, V. M. Kharlamov, “Covering semigroups”, Izv. Math., 77:3 (2013), 594–626
35.
F. Bogomolov, V. S. Kulikov, “On the irreducibility of Hilbert scheme of surfaces of minimal degree”, Cent. Eur. J. Math., 11:2 (2013), 254–263
Vik. S. Kulikov, “Covering semigroups”, Complex Algebraic Geometry (Mathematisches Forschungsinstitut Oberwolfach, 26 May – 1 June 2013), Oberwolfach Reports, Report No. 27/2013, 10, no. 2, European Mathematical Society, 2013, 1595–1598http://www.mfo.de/occasion/1322/www_view
2012
37.
Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space. II”, Izv. Math., 76:2 (2012), 356–364
38.
F. Bogomolov, V. S. Kulikov, “On the diffeomorphic type of the complement to a line arrangement in a projective plane”, Cent. Eur. J. Math., 10:2 (2012), 521–529
Vik. S. Kulikov, “Appendix to the paper: Yu. G. Zarhin, ‘Polynomials in one variable and ranks of certain tangent maps’”, Math. Notes, 91:4 (2012), 514–516
40.
V. S. Kulikov, Yu. G. Prokhorov, I. A. Cheltsov, “Predislovie”, Iskovskikh, Vasilii Alekseevich. Algebraicheskie poverkhnosti: geometriya i arifmetika, MTsNMO, M., 2012
2011
41.
Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space”, Izv. Math., 75:4 (2011), 711–748
2010
42.
V. S. Kulikov, Vik. S. Kulikov, “On complete degenerations of surfaces with ordinary singularities in $\mathbb P^3$”, Sb. Math., 201:1 (2010), 129–158
43.
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
44.
Vik. S. Kulikov, V. M. Kharlamov, “Automorphisms of Galois coverings of generic $m$-canonical projections”, Izv. Math., 73:1 (2009), 121–150
45.
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
46.
Vik. S. Kulikov, “A Remark on the Nonrationality Problem for Generic Cubic Fourfolds”, Math. Notes, 83:1 (2008), 57–64
47.
Vik. S. Kulikov, “Alexander modules of irreducible $C$-groups”, Izv. Math., 72:2 (2008), 305–344
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
2006
51.
Vik. S. Kulikov, “Alexander polynomials of Hurwitz curves”, Izv. Math., 70:1 (2006), 69–86
52.
Vik. S. Kulikov, V. M. Kharlamov, “Surfaces with DIF$\ne$DEF real structures”, Izv. Math., 70:4 (2006), 769–807
2005
53.
G.-M. Greuel, Vik. S. Kulikov, “On symplectic coverings of the projective plane”, Izv. Math., 69:4 (2005), 667–701
2004
54.
Vik. S. Kulikov, “A factorization formula for the full twist of double the number of strings”, Izv. Math., 68:1 (2004), 125–158
55.
Vik. S. Kulikov, “Generic coverings of the plane and braid monodromy invariants”, Proc. of The Fano Conference, Univ. Torino, Turin, 2004, 533–558
56.
Vik. S. Kulikov, “Old and new examples of surfaces of general type with $p_g=0$”, Izv. Math., 68:5 (2004), 965–1008
57.
Vik. S. Kulikov, D. Auroux, V. V. Shevchishin, “Regular homotopy of Hurwitz curves”, Izv. Math., 68:3 (2004), 521–542
2003
58.
V. M. Kharlamov, Vik. S. Kulikov, “On braid monodromy factorizations”, Izv. Math., 67:3 (2003), 499–534
59.
Vik. S. Kulikov, “Generalized Chisini's Conjecture”, Proc. Steklov Inst. Math., 241 (2003), 110–119
2002
60.
Vik. S. Kulikov, V. M. Kharlamov, “On real structures on rigid surfaces”, Izv. Math., 66:1 (2002), 133–150
61.
V. Kharlamov, Vik. Kulikov, “Deformation inequivalent complex conjugated complex structures and applications”, Turkish J. Math., 26:1 (2002), 1–25
62.
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
2001
63.
Vik. S. Kulikov, “Gipoteza o yakobiane i nilpotentnye otobrazheniya”, Kompleksnyi analiz v sovremennoi matematike, Fazis, M., 2001, 167–179
64.
V. Kharlamov, Vik. Kulikov, “Diffeomorphisms, isotopies, and braid monodromy factorizations of plane cuspidal curves”, C. R. Acad. Sci. Paris Sér. I Math., 333:9 (2001), 855-859
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
72.
Vik. S. Kulikov, On Zariski's pairs of $m$th canonical discriminant curves, Preprint MPI 98-80, 1998 , 5 pp.
1997
73.
Vik. S. Kulikov, “On the fundamental groups of complements of toral curves”, Izv. Math., 61:1 (1997), 89–112
74.
Vik. S. Kulikov, “Finite presentability of the commutator subgroup of the fundamental group of the complement of a plane curve”, Izv. Math., 61:5 (1997), 961–967
1996
75.
Vik. S. Kulikov, “The irregularity of cyclic multiple plane”, Algebra and analysis (Kazan, 1994), eds. Arslanov, Parshin, Shafarevich, Valter de Gruyter & Co., Berlin–New York, 1996, 91–102
Vik. S. Kulikov, The monodromies of knots, hypersurface singularities and polynomials, Preprint MPI 96-8, 1996 , 27 pp.
77.
I. Shimada, Vik. S. Kulikov, On the fundamental groups of complements to the dual hypersurfaces of projective curves, Preprint MPI 96-32, 1996 , 15 pp.
1995
78.
Vik. S. Kulikov, “The Alexander polynomials of plane algebraic curves. II”, Proc. Steklov Inst. Math., 208 (1995), 198–211
79.
F. I. Karpelevich, Vik. S. Kulikov, Domashnie zadaniya po distsipline «Teoriya veroyatnostei», MIIT, Moskva, 1995 , 20 pp.
80.
Vik. S. Kulikov, V. S. Kulikov, “On the monodromy and mixed Hodge structure on cohomology of the infinite cyclic covering of the complement to a plane algebraic curve”, Izv. Math., 59:2 (1995), 367–386
81.
Vik. S. Kulikov, “$C$-gruppy i ikh prilozheniya k geometrii”, Fundam. i poiskovye nauchno-issled. raboty v oblasti zhel.-dor. transporta, 869, MIIT, 1995, 15–20
82.
Vik. S. Kulikov, “On plane algebraic curves of positive Albanese dimension”, Izv. Math., 59:6 (1995), 1173–1192
1994
83.
Vik. S. Kulikov, “The Alexander polynomials of algebraic curves in $\mathbb C^2$”, Algebraic geometry and its applications, Proc. of the 8th Alg. geom Conf. (Yaroslavl', 1992), Aspects Math., E25, Vieweg, Braunschweig, 1994, 105–111
1995
84.
Vik. S. Kulikov, “A geometric realization of $C$-groups”, Russian Acad. Sci. Izv. Math., 45:1 (1995), 197–206
1994
85.
Vik. S. Kulikov, “Alexander polynomials of plane algebraic curves”, Russian Acad. Sci. Izv. Math., 42:1 (1994), 67–89
1993
86.
Vik. S. Kulikov, “On the structure of the fundamental group of the complement of algebraic curves in $\mathbf C^2$”, Russian Acad. Sci. Izv. Math., 40:2 (1993), 443–454
87.
Vik. S. Kulikov, “On the Lefschetz theorem for the complement of a curve in $\mathbf P^2$”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 169–184
88.
Vik. S. Kulikov, “Generalized and local Jacobian problems”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 351–365
Vik. S. Kulikov, “On the fundamental group of the complement of a hypersurface in $\mathbb C^n$”, Algebraic geometry (Chicago, IL, 1989), Lect. Notes in Math., 1479, Springer, Berlin, 1991, 122–130
Vik. S. Kulikov, “The fundamental group of the scomplement to a hypersurface in $\mathbf C^n$”, Math. USSR-Izv., 38:2 (1992), 399–418
1989
92.
L. F. Kochneva, Vik. S. Kulikov, A. L. Sadovskii, Tipovye raschety po teorii veroyatnostei i matematicheskoi statistike, MIIT, Moskva, 1989 , 20 pp.
1998
93.
V. S. Kulikov, P. F. Kurchanov, “Complex algebraic varieties: periods of integrals and Hodge structures”, Algebraic geometry, III, Encyclopaedia Math. Sci., 36, Springer, Berlin, 1998, 1–217
1987
94.
Vik. S. Kulikov, “Minimal objects of algebraic spaces”, Math. USSR-Izv., 29:1 (1987), 81–94
1984
95.
Vik. S. Kulikov, “Promezhutochnyi yakobian”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 697
96.
Vik. S. Kulikov, “Puankare divizor”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 746
97.
Vik. S. Kulikov, “Ratsionalnaya funktsiya. Ratsionalnoe mnogoobrazie. Ratsionalnoe otobrazhenie”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 919–920
98.
Vik. S. Kulikov, “Rod krivoi. Rod poverkhnosti”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 1048–1049
99.
Vik. S. Kulikov, “Uniratsionalnoe mnogoobrazie”, Matematicheskaya entsiklopediya, v. 5, Moskva, 1984, 506
100.
Vik. S. Kulikov, “Fano poverkhnost. Fano skhema. Fano mnogoobrazie”, Matematicheskaya entsiklopediya, v. 5, Moskva, 1984, 596–598
1983
101.
Vik. S. Kulikov, Elementy teorii massovogo obsluzhivaniya, Metodicheskie ukazaniya k prakticheskim zanyatiyam po distsipline «Vysshaya matematika», MIIT, Moskva, 1983 , 24 pp.
102.
A. I. Gusev, V. N. Desnyanskii, Vik. S. Kulikov, Temy dlya UIR po distsipline «Vysshaya matematika». Obyknovennye differentsialnye uravneniya, MIIT, Moskva, 1983 , 20 pp.
103.
Vik. S. Kulikov, “Decomposition of a birational map of three-dimensional varieties outside codimension 2”, Math. USSR-Izv., 21:1 (1983), 187–200
1982
104.
T. A. Gudkova, A. G. Kulakov, Vik. S. Kulikov, Testovye zadaniya (uchebno-kontrolnye blanki) po distsipline «Vysshaya matematika», MIIT, Moskva, 1982 , 28 pp.
1981
105.
V. S. Kulikov, Vik. S. Kulikov, “O monodromii semeistva algebraicheskikh mnogoobrazii”, Konstruktivnaya algebraicheskaya geometriya, Mezhvuzovskii sbornik nauchnykh trudov, 194, Yaroslavl, 1981, 58–78
1980
106.
Vik. S. Kulikov, Teorema o perestroike vyrozhdenii poverkhnostei tipa K3, Dep. No. 1202-80, 27 marta 1980 g., 1980 , 50 pp.
1981
107.
Vik. S. Kulikov, “On modifications of degenerations of surfaces with $\varkappa=0$”, Math. USSR-Izv., 17:2 (1981), 339–342
1980
108.
A. G. Kulakov, Vik. S. Kulikov, Integral, analiticheskaya geometriya v prostranstve, funktsii neskolkikh peremennykh, Testovye zadaniya (uchebno-kontrolnye blanki), MIIT, Moskva, 1980 , 28 pp.
1978
109.
Vik. S. Kulikov, Vyrozhdeniya K3 poverkhnostei i poverkhnostei Enrikvesa. Epimorfnost otobrazheniya periodov dlya poverkhnostei tipa K3, Diss. … kand. fiz.-matem. nauk, Moskva, 1978 , 75 pp.
1977
110.
Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Uspekhi Mat. Nauk, 32:3(195) (1977), 167–168
111.
Vik. S. Kulikov, “Surjectivity of the period mapping for $K3$ surfaces”, Uspekhi Mat. Nauk, 32:4(196) (1977), 257–258
112.
Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Math. USSR-Izv., 11:5 (1977), 957–989
Теоремы типа Кизини Vik. S. Kulikov Conference on algebra, algebraic geometry, and number theory on the
occasion of academician Igor Rostislavovich Shafarevich 100th birthday June 7, 2023 12:20
On $G$-rigid surfaces Vik. S. Kulikov "Algebra, algebraic geometry, and number theory". Memorial conference for academician Igor Rostislavovich Shafarevich June 6, 2017 11:00
On G-rigid surfaces Vik. S. Kulikov International conference on algebraic geometry, complex analysis and computer algebra August 3, 2016 15:25
17.
On rigid plane curves Vik. S. Kulikov 5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and
Cohomological Field Theories June 11, 2016 11:00
О линейных проекциях поверхностей на плоскость Vik. S. Kulikov International conference dedicated to the 90th anniversary of academician Igor Rostislavovich Shafarevich June 4, 2013 15:30
Полугруппы накрытий Vik. S. Kulikov Knots and Representation Theory November 29, 2011 18:30
26.
Covering semigroups Viktor Kulikov Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin (24.02.1940 – 27.10.2002) October 25, 2011 14:10
Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 307, ed. A. N. Parshin, V. L. Popov, S. O. Gorchinskiy, Vik. S. Kulikov, 2019, 328 с. http://mi.mathnet.ru/book1773
2024
Contact us: