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Viro, Oleg Yanovich
Professor
Doctor of physico-mathematical sciences
E-mail: , , ,
Website: http://eimi.imi.ras.ru/ru/perso/viro.php

https://www.mathnet.ru/eng/person11170
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/178755

Publications in Math-Net.Ru Citations
2011
1. O. Ya. Viro, “On basic concepts of tropical geometry”, Trudy Mat. Inst. Steklova, 273 (2011),  271–303  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 273 (2011), 252–282  isi 41
2006
2. O. Ya. Viro, “Quantum relatives of the Alexander polynomial”, Algebra i Analiz, 18:3 (2006),  63–157  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 18:3 (2007), 391–457 32
3. O. Ya. Viro, “Whitney number of closed real algebraic affine curve of type I”, Mosc. Math. J., 6:1 (2006),  211–217  mathnet  mathscinet  zmath  isi 1
2001
4. O. Ya. Viro, S. Yu. Orevkov, “Congruence mod 8 for real algebraic curves of degree 9”, Uspekhi Mat. Nauk, 56:4(340) (2001),  137–138  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:4 (2001), 770–771  isi  scopus 5
1992
5. O. Ya. Viro, V. I. Zvonilov, “An inequality for the number of nonempty ovals of a curve of odd degree”, Algebra i Analiz, 4:3 (1992),  159–170  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:3 (1993), 539–548 2
1989
6. O. Ya. Viro, “Real plane algebraic curves: constructions with controlled topology”, Algebra i Analiz, 1:5 (1989),  1–73  mathnet  mathscinet  zmath; Leningrad Math. J., 1:5 (1990), 1059–1134 13
7. O. Ya. Viro, Yu. V. Drobotukhina, “Configurations of skew-lines”, Algebra i Analiz, 1:4 (1989),  222–246  mathnet  mathscinet  zmath; Leningrad Math. J., 1:4 (1990), 1027–1050 1
8. O. Ya. Viro, “Compact four-dimensional exotica with small homology”, Algebra i Analiz, 1:4 (1989),  67–77  mathnet  mathscinet  zmath; Leningrad Math. J., 1:4 (1990), 871–880
1988
9. O. Ya. Viro, D. B. Fuchs, “Homology and cohomology”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 24 (1988),  123–239  mathnet  mathscinet  zmath 2
10. O. Ya. Viro, D. B. Fuchs, “Introduction to homotopy theory”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 24 (1988),  6–121  mathnet  mathscinet  zmath 2
1986
11. O. Ya. Viro, “Progress in the topology of real algebraic varieties over the last six years”, Uspekhi Mat. Nauk, 41:3(249) (1986),  45–67  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:3 (1986), 55–82  isi 52
1985
12. O. Ya. Viro, “Topological problems on lines and points of three-dimensional space”, Dokl. Akad. Nauk SSSR, 284:5 (1985),  1049–1052  mathnet  mathscinet  zmath 1
1984
13. O. Ya. Viro, “Signature of a branched covering”, Mat. Zametki, 36:4 (1984),  549–557  mathnet  mathscinet  zmath; Math. Notes, 36:4 (1984), 772–776  isi 3
1983
14. O. Ya. Viro, “Real plane curves of degrees 7 and 8: new prohibitions”, Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983),  1135–1150  mathnet  mathscinet  zmath; Math. USSR-Izv., 23:2 (1984), 409–422 13
15. V. G. Turaev, O. Ya. Viro, “Intersection of loops in two-dimensional manifolds. II. Free loops”, Mat. Sb. (N.S.), 121(163):3(7) (1983),  359–369  mathnet  mathscinet  zmath; Math. USSR-Sb., 49:2 (1984), 357–366 3
1980
16. O. Ya. Viro, “Curves of degree $7$, curves of degree $8$, and the Ragsdale conjecture”, Dokl. Akad. Nauk SSSR, 254:6 (1980),  1306–1310  mathnet  mathscinet  zmath 11
1979
17. O. Ya. Viro, “Construction of multicomponent real algebraic surfaces”, Dokl. Akad. Nauk SSSR, 248:2 (1979),  279–282  mathnet  mathscinet  zmath 4
18. O. Ya. Viro, “Construction of $M$-surfaces”, Funktsional. Anal. i Prilozhen., 13:3 (1979),  71–72  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:3 (1979), 212–213 4
1977
19. O. Ya. Viro, V. L. Kobel'skii, “The Volodin–Kuznecov–Fomenko conjecture on Heegaard diagrams is false”, Uspekhi Mat. Nauk, 32:5(197) (1977),  175–176  mathnet  mathscinet  zmath 1
1976
20. O. Ya. Viro, “Nonprojecting isotopies and knots with homeomorphic coverings”, Zap. Nauchn. Sem. LOMI, 66 (1976),  133–147  mathnet  mathscinet  zmath; J. Soviet Math., 12:1 (1979), 86–96 8
1975
21. O. Ya. Viro, “Positioning in codimension 2, and the boundary”, Uspekhi Mat. Nauk, 30:1(181) (1975),  231–232  mathnet  mathscinet  zmath 1
1973
22. O. Ya. Viro, “Branched coverings of manifolds with boundary and link invariants. I”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973),  1241–1258  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:6 (1973), 1239–1256 18
23. O. Ya. Viro, “Local knotting of submanifolds”, Mat. Sb. (N.S.), 90(132):2 (1973),  173–183  mathnet  mathscinet  zmath; Math. USSR-Sb., 19:2 (1973), 166–176 5
24. O. Ya. Viro, “Two-sheeted branched coverings of the three-dimensional sphere”, Zap. Nauchn. Sem. LOMI, 36 (1973),  6–39  mathnet  mathscinet  zmath 3
1972
25. O. Ya. Viro, “Linkings, two-sheeted branched coverings and braids”, Mat. Sb. (N.S.), 87(129):2 (1972),  216–228  mathnet  mathscinet  zmath; Math. USSR-Sb., 16:2 (1972), 223–236 14
2010
26. A. M. Vershik, O. Ya. Viro, V. N. Isakov, G. A. Leonov, M. J. Pratussevitch, V. P. Havin, N. A. Shirokov, “Odinets Vladimir Petrovich (on his 65th birthday)”, Vladikavkaz. Mat. Zh., 12:4 (2010),  79–81  mathnet
2000
27. O. Ya. Viro, N. Yu. Netsvetaev, “The editors' foreword”, Zap. Nauchn. Sem. POMI, 267 (2000),  7–8  mathnet
1992
28. V. I. Arnol'd, A. M. Vershik, O. Ya. Viro, A. B. Korchagin, E. A. Leontovich-Andronova, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, G. A. Utkin, E. I. Shustin, “Dmitrii Andreevich Gudkov (obituary)”, Uspekhi Mat. Nauk, 47:6(288) (1992),  195–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:6 (1992), 193–197  isi 1
1990
29. O. Ya. Viro, V. M. Kharlamov, “V. A. Rokhlin's work in topology”, Algebra i Analiz, 2:2 (1990),  242–248  mathnet  mathscinet  zmath; Leningrad Math. J., 2:2 (1991), 433–438
1989
30. V. I. Arnol'd, O. Ya. Viro, E. A. Leontovich-Andronova, V. V. Nikulin, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, V. M. Kharlamov, “Dmitrii Andreevich Gudkov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 44:1(265) (1989),  223–225  mathnet  mathscinet; Russian Math. Surveys, 44:1 (1989), 271–273  isi 1
1986
31. V. I. Arnol'd, A. M. Vershik, O. Ya. Viro, A. N. Kolmogorov, S. P. Novikov, Ya. G. Sinai, D. B. Fuchs, “Vladimir Abramovich Rokhlin (obituary)”, Uspekhi Mat. Nauk, 41:3(249) (1986),  159–163  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:3 (1986), 189–195  isi 2
1981
32. O. Ya. Viro, “Поправки к статье "Кривые степени $7$, кривые степени $8$ и гипотеза Рэгсдейл”, Dokl. Akad. Nauk SSSR, 258:1 (1981),  10  mathnet

Presentations in Math-Net.Ru
1. Лаборатория геометрии и топологии
O. Ya. Viro, S. V. Ivanov
Conference dedicated to the 90th anniversary of Steklov Mathematical Institute
May 16, 2024 16:50   
2. The space that produces the Khovanov homology
O. Ya. Viro
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
May 31, 2012 14:00
3. Tropical geometry and hyperfields
O. Viro
Mathematics - XXI century. PDMI 70th anniversary
September 15, 2010 10:00   
4. Relative Khovanov homology
O. Ya. Viro
The International Conference "Contemporary Mathematics"
June 11, 2009 10:20   
5. The 16th Hilbert problem, a story of mystery, mistakes and solution
O. Ya. Viro
International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold
August 22, 2007 10:05   
6. Tropics and subtropics of algebraic geometry
O. Ya. Viro
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 12, 2007
7. Пространства, о которых не принято говорить
O. Ya. Viro
Meetings of the Moscow Mathematical Society
December 26, 2006
8. Tropical geometries
O. Ya. Viro
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
December 30, 2002
9. The Alexander polynomial, its quantum analoques and 4-manifolds
O. Ya. Viro
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
December 18, 1997
10. Invariants of finite degree as degrees of mapping
O. Ya. Viro
Meetings of the St. Petersburg Mathematical Society
September 24, 1996
11. Finite order invariants for real algebraic varieties
O. Ya. Viro
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
September 9, 1996

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