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Kulikov Viktor Stepanovich
Statistics Math-Net.Ru
Total publications: 42
Scientific articles: 38
Citations to the author: 159
Cited articles: 29
Citing authors: 24
Presentations: 2

Number of views:
This page:695
Abstract pages:3502
Full texts:848
References:95
Scientific status: Professor
Scientific degree: Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 13.04.1952
Phone: +7 (499) 135 25 49
Fax: +7 (499) 135 05 55
E-mail:
Keywords: algebraic surfaces, period map, fundamental groups, Hurwitz curves, semigroup, factorizations of elements of a group, irreducible components of Hurwitz space.
UDC: 512.54.03, 512.7, 512.772, 512.774, 513.6, 513.83, 514.154, 514.756.4, 515.1, 517.956.32, 512.53, 512.544, 512.772.5
MSC: 14F35, 57R17, 14H20

Subject

Algebraic and symplectic geometry.
Main publications
  1. Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Mathematics of the USSR-Izvestiya, 11:5 (1977), 957–989  crossref  mathscinet  zmath
  2. Vik. S. Kulikov, “On Chisini's conjecture”, Izvestiya: Mathematics, 63:6 (1999), 1139–1170  crossref  mathscinet  zmath
  3. 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  mathscinet  zmath

List of publications on Google Scholar
List of publications on ZentralBlatt
Personal webpage on MathSciNet

Publications in Math-Net.Ru
1. On complete degenerations of surfaces with ordinary singularities in $\mathbb P^3$
V. S. Kulikov, Vik. S. Kulikov
Mat. Sb., 2010, 201:1, 129–160
2. Automorphisms of Galois coverings of generic $m$-canonical projections
Vik. S. Kulikov, V. M. Kharlamov
Izv. RAN. Ser. Mat., 2009, 73:1, 121–156
3. On Chisini's conjecture. II
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2008, 72:5, 63–76
4. Alexander modules of irreducible $C$-groups
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2008, 72:2, 105–150
5. A Remark on the Nonrationality Problem for Generic Cubic Fourfolds
Vik. S. Kulikov
Mat. Zametki, 2008, 83:1, 61–68
6. Hurwitz curves
Vik. S. Kulikov
Uspekhi Mat. Nauk, 2007, 62:6(378), 3–86
7. Surfaces with DIF$\ne$DEF real structures
Vik. S. Kulikov, V. M. Kharlamov
Izv. RAN. Ser. Mat., 2006, 70:4, 135–174
8. Alexander polynomials of Hurwitz curves
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2006, 70:1, 75–94
9. On symplectic coverings of the projective plane
G.-M. Greuel, Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2005, 69:4, 19–58
10. Old and new examples of surfaces of general type with $p_g=0$
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2004, 68:5, 123–170
11. Regular homotopy of Hurwitz curves
Vik. S. Kulikov, D. Auroux, V. V. Shevchishin
Izv. RAN. Ser. Mat., 2004, 68:3, 91–114
12. A factorization formula for the full twist of double the number of strings
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2004, 68:1, 123–158
13. On braid monodromy factorizations
V. M. Kharlamov, Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2003, 67:3, 79–118
14. Generalized Chisini's Conjecture
Vik. S. Kulikov
Tr. Mat. Inst. Steklova, 2003, 241, 122–131
15. On real structures on rigid surfaces
Vik. S. Kulikov, V. M. Kharlamov
Izv. RAN. Ser. Mat., 2002, 66:1, 133–152
16. The Jacobian conjecture and nilpotent maps
Vik. S. Kulikov
Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2001, 70, 120–133
17. Generic coverings of the plane with $A$-$D$-$E$-singularities
V. S. Kulikov, Vik. S. Kulikov
Izv. RAN. Ser. Mat., 2000, 64:6, 65–106
18. Braid monodromy factorizations and diffeomorphism types
Vik. S. Kulikov, M. Teicher
Izv. RAN. Ser. Mat., 2000, 64:2, 89–120
19. Fundamental Groups of the Complements to Codimension 2 Submanifolds of Sphere
Vik. S. Kulikov
Tr. Mat. Inst. Steklova, 2000, 231, 284–293
20. On Chisini's conjecture
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1999, 63:6, 83–116
21. Finite presentability of the commutator subgroup of the fundamental group of the complement of a plane curve
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1997, 61:5, 63–70
22. On the fundamental groups of complements of toral curves
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1997, 61:1, 89–112
23. On plane algebraic curves of positive Albanese dimension
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1995, 59:6, 75–94
24. On the monodromy and mixed Hodge structure on cohomology of the infinite cyclic covering of the complement to a plane algebraic curve
Vik. S. Kulikov, V. S. Kulikov
Izv. RAN. Ser. Mat., 1995, 59:2, 143–162
25. The Alexander polynomials of plane algebraic curves. II
Vik. S. Kulikov
Trudy Mat. Inst. Steklov., 1995, 208, 224–239
26. A geometric realization of $C$-groups
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1994, 58:4, 194–203
27. Alexander polynomials of plane algebraic curves
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1993, 57:1, 76–101
28. Generalized and local Jacobian problems
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1992, 56:5, 1086–1103
29. On the Lefschetz theorem for the complement of a curve in $\mathbf P^2$
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1992, 56:4, 889–906
30. On the structure of the fundamental group of the complement of algebraic curves in $\mathbf C^2$
Vik. S. Kulikov
Izv. RAN. Ser. Mat., 1992, 56:2, 469–480
31. The fundamental group of the scomplement to a hypersurface in $\mathbf C^n$
Vik. S. Kulikov
Izv. Akad. Nauk SSSR Ser. Mat., 1991, 55:2, 407–428
32. Complex algebraic manifolds: periods of integrals, Hodge structures
Vik. S. Kulikov, P. F. Kurchanov
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1989, 36, 5–231
33. Minimal objects of algebraic spaces
Vik. S. Kulikov
Izv. Akad. Nauk SSSR Ser. Mat., 1986, 50:4, 726–740
34. Decomposition of a birational map of three-dimensional varieties outside codimension 2
Vik. S. Kulikov
Izv. Akad. Nauk SSSR Ser. Mat., 1982, 46:4, 881–895
35. On modifications of degenerations of surfaces with $\varkappa=0$
Vik. S. Kulikov
Izv. Akad. Nauk SSSR Ser. Mat., 1980, 44:5, 1115–1119
36. Degenerations of $K3$ surfaces and Enriques surfaces
Vik. S. Kulikov
Izv. Akad. Nauk SSSR Ser. Mat., 1977, 41:5, 1008–1042
37. Surjectivity of the period mapping for $K3$ surfaces
Vik. S. Kulikov
Uspekhi Mat. Nauk, 1977, 32:4(196), 257–258
38. Degenerations of $K3$ surfaces and Enriques surfaces
Vik. S. Kulikov
Uspekhi Mat. Nauk, 1977, 32:3(195), 167–168

39. Vasilii Alekseevich Iskovskikh (obituary)
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
Uspekhi Mat. Nauk, 2009, 64:5(389), 167–174
40. 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
41. 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
42. Vasilii Alekseevich Iskovskikh (on his 60th birthday)
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
Uspekhi Mat. Nauk, 1999, 54:4(328), 183–187

Presentations
  1. Generic projections of surfaces to the projective plane
    International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh
    July 1, 2009 10:00
  2. Monodromy invariants of fibrations over projective spaces
    Steklov Mathematical Institute Seminar
    December 24, 2009 17:00

Organisations
 
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