eBook ISBN:  9781470433840 
Product Code:  TRANS2/173.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470433840 
Product Code:  TRANS2/173.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 173; 1996; 264 ppMSC: Primary 14; 57; Secondary 05
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).
ReadershipGraduate students and researchers interested in algebraic geometry and algebraic topology.

Table of Contents

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 6fold 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


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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).
Graduate students and researchers interested in algebraic geometry and algebraic topology.

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 6fold 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