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Topology of real algebraic varieties and related topics
 
Topology of real algebraic varieties and related topics
Hardcover ISBN:  978-0-8218-0555-8
Product Code:  TRANS2/173
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
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
Hardcover ISBN:  978-0-8218-0555-8
eBook: ISBN:  978-1-4704-3384-0
Product Code:  TRANS2/173.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Topology of real algebraic varieties and related topics
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Topology of real algebraic varieties and related topics
Hardcover ISBN:  978-0-8218-0555-8
Product Code:  TRANS2/173
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
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
Hardcover ISBN:  978-0-8218-0555-8
eBook ISBN:  978-1-4704-3384-0
Product Code:  TRANS2/173.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1731996; 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.

  • 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 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
  • Requests
     
     
    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
Advances in the Mathematical Sciences
Volume: 1731996; 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
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