Hardcover ISBN:  9780821805558 
Product Code:  TRANS2/173 
264 pp 
List Price:  $134.00 
MAA Member Price:  $120.60 
AMS Member Price:  $107.20 
Electronic ISBN:  9781470433840 
Product Code:  TRANS2/173.E 
264 pp 
List Price:  $126.00 
MAA Member Price:  $113.40 
AMS Member Price:  $100.80 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 173; 1996MSC: 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

Cover

Frontispiece

Title page

Copyright page

Contents

Dmitriĭ Andreevich Gudkov

Recollection of D. A. Gudkov

Remarks on the enumeration of plane curves

On diagrams of configurations of 7 skew lines of ℝ³

Smoothing isolated singularities on real algebraic surfaces

Quadratic transformations ℝℙ²→ℝℙ²

Real algebraic curves and link cobordism. II

Morsifications of rational functions

Real algebraic curves with real cusps

Towards the maximal number of components of a nonsingular surface of degree 5 in ℝℙ³

Stable equivalence of real projective configurations

Smoothing of 6fold singular points and constructions of 9th degree 𝑀curves

Automaton model of relations between two countries

Classification of curves of degree 6 decomposing into a product of 𝑀curves in general position

Spinors and differentials of real algebraic curves

On the topological classification of real Enriques surfaces. I

Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces

On a nonlinear boundary value problem of mathematical physics

Generic immersions of the circle to surfaces and the complex topology of real algebraic curves

Stratified spaces of real algebraic curves of bidegree (𝑚,1) and (𝑚,2) on a hyperboloid

Back Cover


Request Review Copy

Get Permissions
 Book Details
 Table of Contents

 Request Review Copy
 Get Permissions
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.

Cover

Frontispiece

Title page

Copyright page

Contents

Dmitriĭ Andreevich Gudkov

Recollection of D. A. Gudkov

Remarks on the enumeration of plane curves

On diagrams of configurations of 7 skew lines of ℝ³

Smoothing isolated singularities on real algebraic surfaces

Quadratic transformations ℝℙ²→ℝℙ²

Real algebraic curves and link cobordism. II

Morsifications of rational functions

Real algebraic curves with real cusps

Towards the maximal number of components of a nonsingular surface of degree 5 in ℝℙ³

Stable equivalence of real projective configurations

Smoothing of 6fold singular points and constructions of 9th degree 𝑀curves

Automaton model of relations between two countries

Classification of curves of degree 6 decomposing into a product of 𝑀curves in general position

Spinors and differentials of real algebraic curves

On the topological classification of real Enriques surfaces. I

Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces

On a nonlinear boundary value problem of mathematical physics

Generic immersions of the circle to surfaces and the complex topology of real algebraic curves

Stratified spaces of real algebraic curves of bidegree (𝑚,1) and (𝑚,2) on a hyperboloid

Back Cover