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
Vik. S. Kulikov, “On the variety of the inflection points of plane cubic curves”, Izv. Math., 83:4 (2019), 770–795
10.
Vik. S. Kulikov, “On Germs of Finite Morphisms of Smooth Surfaces”, Proc. Steklov Inst. Math., 307 (2019), 85–114
11.
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
12.
Vik. S. Kulikov, “On divisors of small canonical degree on Godeaux surfaces”, Sb. Math., 209:8 (2018), 1155–1163
13.
Vik. S. Kulikov, E. I. Shustin, “On $G$-Rigid Surfaces”, Proc. Steklov Inst. Math., 298 (2017), 133–151
14.
Vik. S. Kulikov, “The Hesse curve of a Lefschetz pencil of plane curves”, Russian Math. Surveys, 72:3 (2017), 574–576
15.
Viktor S. Kulikov, Eugenii Shustin, “On rigid plane curves”, Eur. J. Math., 2:1 (2016), 208–226 , arXiv: 1501.03777
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
26.
Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space. II”, Izv. Math., 76:2 (2012), 356–364
27.
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
29.
Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space”, Izv. Math., 75:4 (2011), 711–748
30.
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
31.
Vik. S. Kulikov, V. M. Kharlamov, “Automorphisms of Galois coverings of generic $m$-canonical projections”, Izv. Math., 73:1 (2009), 121–150
32.
Vik. S. Kulikov, “A Remark on the Nonrationality Problem for Generic Cubic Fourfolds”, Math. Notes, 83:1 (2008), 57–64
33.
Vik. S. Kulikov, “Alexander modules of irreducible $C$-groups”, Izv. Math., 72:2 (2008), 305–344
Vik. S. Kulikov, “Alexander polynomials of Hurwitz curves”, Izv. Math., 70:1 (2006), 69–86
37.
Vik. S. Kulikov, V. M. Kharlamov, “Surfaces with DIF$\ne$DEF real structures”, Izv. Math., 70:4 (2006), 769–807
38.
G.-M. Greuel, Vik. S. Kulikov, “On symplectic coverings of the projective plane”, Izv. Math., 69:4 (2005), 667–701
39.
Vik. S. Kulikov, “A factorization formula for the full twist of double the number of strings”, Izv. Math., 68:1 (2004), 125–158
40.
Vik. S. Kulikov, “Generic coverings of the plane and braid monodromy invariants”, Proc. of The Fano Conference, Univ. Torino, Turin, 2004, 533–558
41.
Vik. S. Kulikov, “Old and new examples of surfaces of general type with $p_g=0$”, Izv. Math., 68:5 (2004), 965–1008
42.
Vik. S. Kulikov, D. Auroux, V. V. Shevchishin, “Regular homotopy of Hurwitz curves”, Izv. Math., 68:3 (2004), 521–542
43.
V. M. Kharlamov, Vik. S. Kulikov, “On braid monodromy factorizations”, Izv. Math., 67:3 (2003), 499–534
44.
Vik. S. Kulikov, “Generalized Chisini's Conjecture”, Proc. Steklov Inst. Math., 241 (2003), 110–119
45.
Vik. S. Kulikov, V. M. Kharlamov, “On real structures on rigid surfaces”, Izv. Math., 66:1 (2002), 133–150
46.
V. Kharlamov, Vik. Kulikov, “Deformation inequivalent complex conjugated complex structures and applications”, Turkish J. Math., 26:1 (2002), 1–25
47.
Vik. S. Kulikov, “Gipoteza o yakobiane i nilpotentnye otobrazheniya”, Kompleksnyi analiz v sovremennoi matematike, Fazis, M., 2001, 167–179
48.
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
Vik. S. Kulikov, “On the fundamental groups of complements of toral curves”, Izv. Math., 61:1 (1997), 89–112
56.
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
57.
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 Alexander polynomials of plane algebraic curves. II”, Proc. Steklov Inst. Math., 208 (1995), 198–211
59.
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
60.
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
61.
Vik. S. Kulikov, “On plane algebraic curves of positive Albanese dimension”, Izv. Math., 59:6 (1995), 1173–1192
62.
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
63.
Vik. S. Kulikov, “A geometric realization of $C$-groups”, Russian Acad. Sci. Izv. Math., 45:1 (1995), 197–206
64.
Vik. S. Kulikov, “Alexander polynomials of plane algebraic curves”, Russian Acad. Sci. Izv. Math., 42:1 (1994), 67–89
65.
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
66.
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
67.
Vik. S. Kulikov, “Generalized and local Jacobian problems”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 351–365
68.
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
70.
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
71.
Vik. S. Kulikov, “Minimal objects of algebraic spaces”, Math. USSR-Izv., 29:1 (1987), 81–94
72.
Vik. S. Kulikov, “Decomposition of a birational map of three-dimensional varieties outside codimension 2”, Math. USSR-Izv., 21:1 (1983), 187–200
73.
V. S. Kulikov, Vik. S. Kulikov, “O monodromii semeistva algebraicheskikh mnogoobrazii”, Konstruktivnaya algebraicheskaya geometriya, Mezhvuzovskii sbornik nauchnykh trudov, 194, Yaroslavl, 1981, 58–78
74.
Vik. S. Kulikov, “On modifications of degenerations of surfaces with $\varkappa=0$”, Math. USSR-Izv., 17:2 (1981), 339–342
75.
Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Uspekhi Mat. Nauk, 32:3(195) (1977), 167–168
76.
Vik. S. Kulikov, “Surjectivity of the period mapping for $K3$ surfaces”, Uspekhi Mat. Nauk, 32:4(196) (1977), 257–258
77.
Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Math. USSR-Izv., 11:5 (1977), 957–989
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.
Proceedings
80.
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
81.
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
82.
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
Preprints
83.
Vik. S. Kulikov, On Zariski's pairs of $m$th canonical discriminant curves, Preprint MPI 98-80, 1998 , 5 pp.
84.
Vik. S. Kulikov, The monodromies of knots, hypersurface singularities and polynomials, Preprint MPI 96-8, 1996 , 27 pp.
85.
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.
86.
F. I. Karpelevich, Vik. S. Kulikov, Domashnie zadaniya po distsipline «Teoriya veroyatnostei», MIIT, Moskva, 1995 , 20 pp.
87.
L. F. Kochneva, Vik. S. Kulikov, A. L. Sadovskii, Tipovye raschety po teorii veroyatnostei i matematicheskoi statistike, MIIT, Moskva, 1989 , 20 pp.
88.
Vik. S. Kulikov, Elementy teorii massovogo obsluzhivaniya, Metodicheskie ukazaniya k prakticheskim zanyatiyam po distsipline «Vysshaya matematika», MIIT, Moskva, 1983 , 24 pp.
89.
A. I. Gusev, V. N. Desnyanskii, Vik. S. Kulikov, Temy dlya UIR po distsipline «Vysshaya matematika». Obyknovennye differentsialnye uravneniya, MIIT, Moskva, 1983 , 20 pp.
90.
T. A. Gudkova, A. G. Kulakov, Vik. S. Kulikov, Testovye zadaniya (uchebno-kontrolnye blanki) po distsipline «Vysshaya matematika», MIIT, Moskva, 1982 , 28 pp.
91.
Vik. S. Kulikov, Teorema o perestroike vyrozhdenii poverkhnostei tipa K3, Dep. No. 1202-80, 27 marta 1980 g., 1980 , 50 pp.
92.
A. G. Kulakov, Vik. S. Kulikov, Integral, analiticheskaya geometriya v prostranstve, funktsii neskolkikh peremennykh, Testovye zadaniya (uchebno-kontrolnye blanki), MIIT, Moskva, 1980 , 28 pp.
Vik. S. Kulikov, On the variety of the inflection points of plane cubic curves, 2018 , 27 pp., arXiv: 1810.01705
95.
Vik.S. Kulikov, On the Galois groups of the dualizing coverings for plane curves, 2014 , 10 pp., arXiv: 1403.1426
Popular science or education materials
96.
Vik. S. Kulikov, G. B. Shabat, “Igor Rostislavovich Shafarevich – velikii matematik i Uchitel”, Matematicheskoe prosveschenie, 2018, Tretya seriya, no. 22, 37–63
Vik. S. Kulikov, “Promezhutochnyi yakobian”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 697
98.
Vik. S. Kulikov, “Puankare divizor”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 746
99.
Vik. S. Kulikov, “Ratsionalnaya funktsiya. Ratsionalnoe mnogoobrazie. Ratsionalnoe otobrazhenie”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 919–920
100.
Vik. S. Kulikov, “Rod krivoi. Rod poverkhnosti”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 1048–1049
101.
Vik. S. Kulikov, “Uniratsionalnoe mnogoobrazie”, Matematicheskaya entsiklopediya, v. 5, Moskva, 1984, 506
102.
Vik. S. Kulikov, “Fano poverkhnost. Fano skhema. Fano mnogoobrazie”, Matematicheskaya entsiklopediya, v. 5, Moskva, 1984, 596–598
Personalia
103.
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
104.
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
105.
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
106.
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
107.
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
108.
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
109.
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
110.
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
111.
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
Miscellaneous
112.
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.
113.
V. S. Kulikov, Yu. G. Prokhorov, I. A. Cheltsov, “Predislovie”, Iskovskikh, Vasilii Alekseevich. Algebraicheskie poverkhnosti: geometriya i arifmetika, MTsNMO, M., 2012
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