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Topology of real algebraic varieties and related topics
| eBook ISBN: | 978-1-4704-3384-0 |
| Product Code: | TRANS2/173.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
Click above image for expanded view
Topology of real algebraic varieties and related topics
| eBook ISBN: | 978-1-4704-3384-0 |
| Product Code: | TRANS2/173.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
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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.
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Table of Contents
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Chapters
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Grigoriĭ M. Polotovskiĭ — Dmitriĭ Andreevich Gudkov
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Evgeniĭ I. Gordon — Recollection of D. A. Gudkov
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V. I. Arnold — Remarks on the enumeration of plane curves
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Alberto Borobia and Vladimir F. Mazurovskiĭ — On diagrams of configurations of 7 skew lines of $\mathbb {R}^3$
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Benoît Chevallier — Smoothing isolated singularities on real algebraic surfaces
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Alexander Degtyarev — Quadratic transformations $\mathbb {R}P^2\to \mathbb {R}P^2$
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Patrick Gilmer — Real algebraic curves and link cobordism. II
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V. V. Goryunov — Morsifications of rational functions
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Ilia Itenberg and Eugeniĭ Shustin — Real algebraic curves with real cusps
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V. Kharlamov and I. Itenberg — Towards the maximal number of components of a nonsingular surface of degree 5 in $\mathbb {R}P^3$
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Sergeĭ I. Khashin and Vladimir F. Mazurovskiĭ — Stable equivalence of real projective configurations
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A. B. Korchagin — Smoothing of 6-fold singular points and constructions of 9th degree $M$-curves
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Mark Kushelman — Automaton model of relations between two countries
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T. V. Kuzmenko and G. M. Polotovskiĭ — Classification of curves of degree 6 decomposing into a product of $M$-curves in general position
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S. M. Natanzon — Spinors and differentials of real algebraic curves
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Vyacheslav V. Nikulin — On the topological classification of real Enriques surfaces. I
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Evgeniĭ Shustin — Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces
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G. A. Utkin — On a nonlinear boundary value problem of mathematical physics
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Oleg Viro — Generic immersions of the circle to surfaces and the complex topology of real algebraic curves
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V. I. Zvonilov — Stratified spaces of real algebraic curves of bidegree $(m,1)$ and $(m,2)$ on a hyperboloid
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Advances in the Mathematical Sciences
Volume: 173; 1996; 264 pp
MSC: 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).
Readership
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 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.