Zobrazeno 1 - 10 of 14 pro vyhledávání: '"Viktor S. Kulikov"'
2
Duality of planar and spacial curves: new insight
Autor: Eugenii Shustin, Viktor S. Kulikov
Publikováno v: European Journal of Mathematics. 1:462-482
We study the geometry of equiclassical strata of the discriminant in the space of plane curves of a given degree, which are families of curves of given degree, genus and class (degree of the dual curve). Our main observation is that the use of dualit
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a03ba156b17fb1ef07042400762e8117
https://doi.org/10.1007/s40879-015-0052-6
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3
Factorizations in finite groups
Autor: Viktor S Kulikov
Publikováno v: Sbornik: Mathematics. 204:237-263
A necessary condition for uniqueness of factorizations of elements of a finite group with factors belonging to a union of some conjugacy classes of is given. This condition is sufficient if the number of factors belonging to each conjugacy class is b
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fa4aeec6c6b4b3c739325477890f40cb
https://doi.org/10.1070/sm2013v204n02abeh004299
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4
On the irreducibility of Hilbert scheme of surfaces of minimal degree
Autor: Viktor S. Kulikov, Fedor Bogomolov
Publikováno v: Open Mathematics, Vol 11, Iss 2, Pp 254-263 (2013)
The article contains a new proof that the Hilbert scheme of irreducible surfaces of degree m in ℙm+1 is irreducible except m = 4. In the case m = 4 the Hilbert scheme consists of two irreducible components explicitly described in the article. The m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07c5b9da043db83d61315d2e225685f5
https://doaj.org/article/4d5b5ea265aa44849cd4507ab06ca179
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5
On the diffeomorphic type of the complement to a line arrangement in a projective plane
Autor: Viktor S. Kulikov, Fedor Bogomolov
Publikováno v: Open Mathematics, Vol 10, Iss 2, Pp 521-529 (2012)
We show that the diffeomorphic type of the complement to a line arrangement in a complex projective plane P2 depends only on the graph of line intersections if no line in the arrangement contains more than two points in which at least two lines inter
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bb05c757a15407476ff7a1f64c639d4
https://doaj.org/article/dd4eb2a3e4ff40ff91b3f65e7def526e
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9
On rigid plane curves
Autor: Viktor S. Kulikov, Eugenii Shustin
In the article, we exhibit a series of new examples of rigid plane curves, that is, curves, whose collection of singularities determines them almost uniquely up to a projective transformation of the plane.
Comment: 19 pages, exposition improved
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5ebb3beb2210ee94014a10fc7d6566f
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