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Topology of real algebraic varieties and related topics

About this Title

V. M. Kharlamov, Anatoly Korchagin, G. M. Polotovskiĭ and Oleg Viro, Editors. Translated by Moscow Groups

Publication: American Mathematical Society Translations: Series 2
Publication Year: 1996; Volume 173
ISBNs: 978-0-8218-0555-8 (print); 978-1-4704-3384-0 (online)
DOI: https://doi.org/10.1090/trans2/173
MathSciNet review: MR1384302
MSC: Primary 14-06; Secondary 00B30, 14Pxx

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Table of Contents

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Chapters

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