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, On the variety of the inflection points of plane cubic curves, 2018 , 27 pp., arXiv: 1810.01705
14.
Vik. S. Kulikov, E. I. Shustin, “On $G$-Rigid Surfaces”, Proc. Steklov Inst. Math., 298 (2017), 133–151
15.
Vik. S. Kulikov, “The Hesse curve of a Lefschetz pencil of plane curves”, Russian Math. Surveys, 72:3 (2017), 574–576
16.
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
18.
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
19.
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
24.
Vik. S. Kulikov, V. M. Kharlamov, “On numerically pluricanonical cyclic coverings”, Izv. Math., 78:5 (2014), 986–1005
25.
Vik.S. Kulikov, On the Galois groups of the dualizing coverings for plane curves, 2014 , 10 pp., arXiv: 1403.1426
26.
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
27.
Vik. S. Kulikov, “Factorizations in finite groups”, Sb. Math., 204:2 (2013), 237–263
28.
Vik. S. Kulikov, V. M. Kharlamov, “Covering semigroups”, Izv. Math., 77:3 (2013), 594–626
29.
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
31.
Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space. II”, Izv. Math., 76:2 (2012), 356–364
32.
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, “Alexander polynomials of Hurwitz curves”, Izv. Math., 70:1 (2006), 69–86
41.
Vik. S. Kulikov, V. M. Kharlamov, “Surfaces with DIF$\ne$DEF real structures”, Izv. Math., 70:4 (2006), 769–807
42.
G.-M. Greuel, Vik. S. Kulikov, “On symplectic coverings of the projective plane”, Izv. Math., 69:4 (2005), 667–701
43.
Vik. S. Kulikov, “A factorization formula for the full twist of double the number of strings”, Izv. Math., 68:1 (2004), 125–158
44.
Vik. S. Kulikov, “Generic coverings of the plane and braid monodromy invariants”, Proc. of The Fano Conference, Univ. Torino, Turin, 2004, 533–558
45.
Vik. S. Kulikov, “Old and new examples of surfaces of general type with $p_g=0$”, Izv. Math., 68:5 (2004), 965–1008
46.
Vik. S. Kulikov, D. Auroux, V. V. Shevchishin, “Regular homotopy of Hurwitz curves”, Izv. Math., 68:3 (2004), 521–542
47.
V. M. Kharlamov, Vik. S. Kulikov, “On braid monodromy factorizations”, Izv. Math., 67:3 (2003), 499–534
48.
Vik. S. Kulikov, “Generalized Chisini's Conjecture”, Proc. Steklov Inst. Math., 241 (2003), 110–119
49.
Vik. S. Kulikov, V. M. Kharlamov, “On real structures on rigid surfaces”, Izv. Math., 66:1 (2002), 133–150
50.
V. Kharlamov, Vik. Kulikov, “Deformation inequivalent complex conjugated complex structures and applications”, Turkish J. Math., 26:1 (2002), 1–25
51.
Vik. S. Kulikov, “Gipoteza o yakobiane i nilpotentnye otobrazheniya”, Kompleksnyi analiz v sovremennoi matematike, Fazis, M., 2001, 167–179
52.
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 Zariski's pairs of $m$th canonical discriminant curves, Preprint MPI 98-80, 1998 , 5 pp.
60.
Vik. S. Kulikov, “On the fundamental groups of complements of toral curves”, Izv. Math., 61:1 (1997), 89–112
61.
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
62.
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.
64.
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.
65.
Vik. S. Kulikov, “The Alexander polynomials of plane algebraic curves. II”, Proc. Steklov Inst. Math., 208 (1995), 198–211
66.
F. I. Karpelevich, Vik. S. Kulikov, Domashnie zadaniya po distsipline «Teoriya veroyatnostei», MIIT, Moskva, 1995 , 20 pp.
67.
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
68.
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
69.
Vik. S. Kulikov, “On plane algebraic curves of positive Albanese dimension”, Izv. Math., 59:6 (1995), 1173–1192
70.
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
71.
Vik. S. Kulikov, “A geometric realization of $C$-groups”, Russian Acad. Sci. Izv. Math., 45:1 (1995), 197–206
72.
Vik. S. Kulikov, “Alexander polynomials of plane algebraic curves”, Russian Acad. Sci. Izv. Math., 42:1 (1994), 67–89
73.
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
74.
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
75.
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
79.
L. F. Kochneva, Vik. S. Kulikov, A. L. Sadovskii, Tipovye raschety po teorii veroyatnostei i matematicheskoi statistike, MIIT, Moskva, 1989 , 20 pp.
80.
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
81.
Vik. S. Kulikov, “Minimal objects of algebraic spaces”, Math. USSR-Izv., 29:1 (1987), 81–94
82.
Vik. S. Kulikov, Elementy teorii massovogo obsluzhivaniya, Metodicheskie ukazaniya k prakticheskim zanyatiyam po distsipline «Vysshaya matematika», MIIT, Moskva, 1983 , 24 pp.
83.
A. I. Gusev, V. N. Desnyanskii, Vik. S. Kulikov, Temy dlya UIR po distsipline «Vysshaya matematika». Obyknovennye differentsialnye uravneniya, MIIT, Moskva, 1983 , 20 pp.
84.
Vik. S. Kulikov, “Decomposition of a birational map of three-dimensional varieties outside codimension 2”, Math. USSR-Izv., 21:1 (1983), 187–200
85.
T. A. Gudkova, A. G. Kulakov, Vik. S. Kulikov, Testovye zadaniya (uchebno-kontrolnye blanki) po distsipline «Vysshaya matematika», MIIT, Moskva, 1982 , 28 pp.
86.
V. S. Kulikov, Vik. S. Kulikov, “O monodromii semeistva algebraicheskikh mnogoobrazii”, Konstruktivnaya algebraicheskaya geometriya, Mezhvuzovskii sbornik nauchnykh trudov, 194, Yaroslavl, 1981, 58–78
87.
Vik. S. Kulikov, Teorema o perestroike vyrozhdenii poverkhnostei tipa K3, Dep. No. 1202-80, 27 marta 1980 g., 1980 , 50 pp.
88.
Vik. S. Kulikov, “On modifications of degenerations of surfaces with $\varkappa=0$”, Math. USSR-Izv., 17:2 (1981), 339–342
89.
A. G. Kulakov, Vik. S. Kulikov, Integral, analiticheskaya geometriya v prostranstve, funktsii neskolkikh peremennykh, Testovye zadaniya (uchebno-kontrolnye blanki), MIIT, Moskva, 1980 , 28 pp.
90.
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.
91.
Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Uspekhi Mat. Nauk, 32:3(195) (1977), 167–168
92.
Vik. S. Kulikov, “Surjectivity of the period mapping for $K3$ surfaces”, Uspekhi Mat. Nauk, 32:4(196) (1977), 257–258
93.
Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Math. USSR-Izv., 11:5 (1977), 957–989
94.
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
95.
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
96.
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
97.
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.
98.
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
100.
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
101.
V. S. Kulikov, Yu. G. Prokhorov, I. A. Cheltsov, “Predislovie”, Iskovskikh, Vasilii Alekseevich. Algebraicheskie poverkhnosti: geometriya i arifmetika, MTsNMO, M., 2012
102.
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
103.
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
104.
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
105.
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
106.
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
107.
Vik. S. Kulikov, “Promezhutochnyi yakobian”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 697
108.
Vik. S. Kulikov, “Puankare divizor”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 746
109.
Vik. S. Kulikov, “Ratsionalnaya funktsiya. Ratsionalnoe mnogoobrazie. Ratsionalnoe otobrazhenie”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 919–920
110.
Vik. S. Kulikov, “Rod krivoi. Rod poverkhnosti”, Matematicheskaya entsiklopediya, v. 4, Moskva, 1984, 1048–1049
111.
Vik. S. Kulikov, “Uniratsionalnoe mnogoobrazie”, Matematicheskaya entsiklopediya, v. 5, Moskva, 1984, 506
112.
Vik. S. Kulikov, “Fano poverkhnost. Fano skhema. Fano mnogoobrazie”, Matematicheskaya entsiklopediya, v. 5, Moskva, 1984, 596–598
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