The complex separation of real surfaces and extensions of Rokhlin congruence
type: Item
instance of: scholarly article
title: The complex separation of real surfaces and extensions of Rokhlin congruence
zbMATH Open document ID: 0823.14041
DOI: 10.1007/BF01231532
author: Grigory Mikhalkin
published in: Inventiones Mathematicae
publication date: 1995-11-05T00:00:00Z
full work available at URL: https://eudml.org/doc/144235
review text: The topological arrangement of real algebraic curves on real algebraic surfaces is a problem, coming from Hilbert in the case of plane curves, in which the congruences of Rokhlin, Kharlamov-Gudkov-Krakhnov and Kharlamov-Marin are famous. The author of the paper under review extends these congruences and as application some new restrictions for topological configurations of curves of given degree in the ellipsoid and the hyperboloid are worth to be noted. Although it is not the main result of the paper, the reader should note that proposition 7.3 corrects a miscalculation in the classical Rokhlin paper [\textit{V. A. Rokhlin}, Funct. Anal. Appl. 6 (1972), 301-306 (1973); translation from Funkts. Anal. Prilozh. 6, No. 4, 58-64 (1972; Zbl 0295.14008)].
reviewed by: Jose Manuel Gamboa
Mathematics Subject Classification ID: 14P05
Mathematics Subject Classification ID: 14N05
zbMATH DE Number: 703868
zbMATH Keywords: topological arrangement of real algebraic curves on real algebraic surfaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 703868