THE COMPLEX SEPARATION OF REAL SURFACES AND EXTENSIONS OF ROKHLIN CONGRUENCE
成果类型：
Article
署名作者：
MIKHALKIN, G
署名单位：
Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/BF01231532
发表日期：
1994
页码：
197-222
关键词：
摘要：
The subject of this paper is the problem of topological arrangement of real algebraic curves on real algebraic surfaces. In this paper I extend Rokhlin, Kharlamov-Gudkov-Krakhnov and Kharlamov-Marin congruences and give some applications of this extension. Among these applications there are new restrictions for topological arrangement of real algebraic curves of a given degree on hyperboloid and ellipsoid, new restrictions for complex orientations of curves on a hyperboloid and the topological classification of pairs made of a non-connected cubic surfaces in RP(3) and its regular intersection with a quadric.
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