Topology of Real Algebraic Varieties and Related Topics

Inbunden, Engelska, 1996

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This volume is dedicated to the memory of the Russian mathematician D. A. Gudkov. It contains papers written by his friends, students, and collaborators and is devoted mainly to the areas where D. A. Gudkov made important contributions. The main topic is the topology of real algebraic varieties. Several papers include new results on the topology of real plane algebraic curves (the Hilbert 16th problem).

Produktinformation

Utgivningsdatum1996-04-30
Vikt737 g
FormatInbunden
SpråkEngelska
SerieAmerican Mathematical Society Translations
FörlagAmerican Mathematical Society
ISBN9780821805558

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Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

Dmitrii Andreevich Gudkov by G. M. Polotovskii Recollection of D. A. Gudkov by E. I. Gordon Remarks on the enumeration of plane curves by V. I. Arnold On diagrams of configurations of 7 skew lines of $\mathbb{R}^3$ by A. Borobia and V. F. Mazurovskii Smoothing isolated singularities on real algebraic surfaces by B. Chevallier Quadratic transformations $\mathbb{R}P^2\to\mathbb{R}P^2$ by A. I. Degtyarev Real algebraic curves and link cobordism. II by P. M. Gilmer Morsifications of rational functions by V. V. Goryunov Real algebraic curves with real cusps by I. V. Itenberg and E. I. Shustin Towards the maximal number of components of a nonsingular surface of degree 5 in $\mathbb{R}P^3$ by V. M. Kharlamov and I. V. Itenberg Stable equivalence of real projective configurations by Sergei I. Khashin and V. F. Mazurovskii Smoothing of 6-fold singular points and constructions of 9th degree $M$-curves by A. Korchagin Automaton model of relations between two countries by M. S. Kushelman Classification of curves of degree 6 decomposing into a product of $M$-curves in general position by T. V. Kuzmenko and G. M. Polotovskii Spinors and differentials of real algebraic curves by S. M. Natanzon On the topological classification of real Enriques surfaces. I by V. V. Nikulin Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces by E. I. Shustin On a nonlinear boundary value problem of mathematical physics by G. A. Utkin Generic immersions of the circle to surfaces and the complex topology of real algebraic curves by O. Viro Stratified spaces of real algebraic curves of bidegree $(m,1)$ and $(m,2)$ on a hyperboloid by V. I. Zvonilov.