**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1996; 264 pp; Hardcover

MSC: Primary 14; 57; Secondary 05

Print ISBN: 978-0-8218-0555-8

Product Code: TRANS2/173

Print ISBN: 978-0-8218-0555-8

Product Code: TRANS2/173

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

**Electronic ISBN: 978-1-4704-3384-0
Product Code: TRANS2/173.E**

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

# Topology of real algebraic varieties and related topics

Share this page *Edited by *
*V. M. Kharlamov; A Korchagin; G. M. Polotovskiĭ; O Viro*

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).

#### Readership

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

# Table of Contents

## Topology of real algebraic varieties and related topics

- Cover Cover11
- Frontispiece ii3
- Title page iii4
- Copyright page iv5
- Contents v6
- Dmitriĭ Andreevich Gudkov 18
- Recollection of D. A. Gudkov 1118
- Remarks on the enumeration of plane curves 1724
- On diagrams of configurations of 7 skew lines of ℝ³ 3340
- Smoothing isolated singularities on real algebraic surfaces 4148
- Quadratic transformations ℝℙ²→ℝℙ² 6168
- Real algebraic curves and link cobordism. II 7380
- Morsifications of rational functions 8592
- Real algebraic curves with real cusps 97104
- Towards the maximal number of components of a nonsingular surface of degree 5 in ℝℙ³ 111118
- Stable equivalence of real projective configurations 119126
- Smoothing of 6-fold singular points and constructions of 9th degree 𝑀-curves 141148
- Automaton model of relations between two countries 157164
- Classification of curves of degree 6 decomposing into a product of 𝑀-curves in general position 165172
- Spinors and differentials of real algebraic curves 179186
- On the topological classification of real Enriques surfaces. I 187194
- Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces 203210
- On a nonlinear boundary value problem of mathematical physics 225232
- Generic immersions of the circle to surfaces and the complex topology of real algebraic curves 231238
- Stratified spaces of real algebraic curves of bidegree (𝑚,1) and (𝑚,2) on a hyperboloid 253260
- Back Cover Back Cover1273