Real J-Curves with Deep Nests on Ruled Surfaces |
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| Authors: | J.-Y. Welschinger |
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| Affiliation: | (1) Institut de Recherche Mathématique Avancée, Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg Cédex, France |
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| Abstract: | A new proof of S. Yu. Orevkov's complex orientation formula is presented, which allows one to generalize this formula to J-curves with deep nests on ruled surfaces. In particular, an analog of this formula for separating real algebraic curves in  with two nests is obtained. For separating real J-curves with deep nests on ruled surfaces, analogs of the Arnol'd and Rokhlin inequalities are obtained. Bibliography: 17 titles. |
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