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Complex Manifolds and Hyperbolic Geometry
 
Edited by: Clifford J. Earle Cornell University, Ithaca, NY
William J. Harvey King’s College, London, England
Sevín Recillas-Pishmish Instituto de Matematicas, UNAM, Morelia, Mexico
Front Cover for Complex Manifolds and Hyperbolic Geometry
Available Formats:
Softcover ISBN: 978-0-8218-2957-8
Product Code: CONM/311
343 pp 
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Electronic ISBN: 978-0-8218-7901-6
Product Code: CONM/311.E
343 pp 
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $84.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $168.00
MAA Member Price: $151.20
AMS Member Price: $134.40
Front Cover for Complex Manifolds and Hyperbolic Geometry
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  • Front Cover for Complex Manifolds and Hyperbolic Geometry
  • Back Cover for Complex Manifolds and Hyperbolic Geometry
Complex Manifolds and Hyperbolic Geometry
Edited by: Clifford J. Earle Cornell University, Ithaca, NY
William J. Harvey King’s College, London, England
Sevín Recillas-Pishmish Instituto de Matematicas, UNAM, Morelia, Mexico
Available Formats:
Softcover ISBN:  978-0-8218-2957-8
Product Code:  CONM/311
343 pp 
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Electronic ISBN:  978-0-8218-7901-6
Product Code:  CONM/311.E
343 pp 
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $84.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $168.00
MAA Member Price: $151.20
AMS Member Price: $134.40
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3112002
    MSC: Primary 11; 14; 30; 32; 37;

    This volume derives from the second Iberoamerican Congress on Geometry, held in 2001 in Mexico at the Centro de Investigación en Matemáticas A.C., an internationally recognized program of research in pure mathematics. The conference topics were chosen with an eye toward the presentation of new methods, recent results, and the creation of more interconnections between the different research groups working in complex manifolds and hyperbolic geometry. This volume reflects both the unity and the diversity of these subjects.

    Researchers around the globe have been working on problems concerning Riemann surfaces, as well as a wide scope of other issues: the theory of Teichmüller spaces, theta functions, algebraic geometry and classical function theory.

    Included here are discussions revolving around questions of geometry that are related in one way or another to functions of a complex variable. There are contributors on Riemann surfaces, hyperbolic geometry, Teichmüller spaces, and quasiconformal maps.

    Complex geometry has many applications—triangulations of surfaces, combinatorics, ordinary differential equations, complex dynamics, and the geometry of special curves and jacobians, among others. In this book, research mathematicians in complex geometry, hyperbolic geometry and Teichmüller spaces will find a selection of strong papers by international experts.

    Readership

    Research mathematicians and graduate students in complex geometry, hyperbolic geometry and Teichmüller spaces.

  • Table of Contents
     
     
    • Articles
    • Araceli M. Bonifant and Marius Dabija - Self-maps of ${\Bbb P}^2$ with invariant elliptic curves [ MR 1940161 ]
    • Jeffrey F. Brock - Pants decompositions and the Weil-Petersson metric [ MR 1940162 ]
    • Angel Carocca, Sevín Recillas and Rubí E. Rodríguez - Dihedral groups acting on Jacobians [ MR 1940163 ]
    • Clifford J. Earle - Schwarz’s lemma and Teichmüller contraction [ MR 1940164 ]
    • Clifford J. Earle, Vladimir Markovic and Dragomir Saric - Barycentric extension and the Bers embedding for asymptotic Teichmüller space [ MR 1940165 ]
    • Adam Lawrence Epstein - Symmetric rigidity for real polynomials with real critical points [ MR 1940166 ]
    • Hershel M. Farkas and Irwin Kra - On theta constant identities and the evaluation of trigonometric sums [ MR 1940167 ]
    • Alexander Gamburd and Eran Makover - On the genus of a random Riemann surface [ MR 1940168 ]
    • F. P. Gardiner, J. Hu and N. Lakic - Earthquake curves [ MR 1940169 ]
    • F. P. Gardiner and N. Lakic - Efficient smooth quasiconformal mappings [ MR 1940170 ]
    • T. M. Gendron - The Ehrenpreis conjecture and the moduli-rigidity gap [ MR 1940171 ]
    • Jane Gilman and Linda Keen - Word sequences and intersection numbers [ MR 1940172 ]
    • L. Giraldo and X. Gómez-Mont - A law of conservation of number for local Euler characteristics [ MR 1940173 ]
    • G. González-Díez and W. J. Harvey - On families of algebraic curves with automorphisms [ MR 1940174 ]
    • Rubén A. Hidalgo - Real surfaces, Riemann matrices and algebraic curves [ MR 1940175 ]
    • Nikola Lakic and Sudeb Mitra - Approximation by meromorphic quadratic differentials [ MR 1940176 ]
    • Bernard Maskit - On the topology of classical Schottky space [ MR 1940177 ]
    • R. Silhol - Hyperbolic lego and algebraic curves in genus 2 and 3 [ MR 1940178 ]
    • Perry Susskind - The Margulis region and continued fractions [ MR 1940179 ]
  • Additional Material
     
     
  • Request Review Copy
  • Get Permissions
Volume: 3112002
MSC: Primary 11; 14; 30; 32; 37;

This volume derives from the second Iberoamerican Congress on Geometry, held in 2001 in Mexico at the Centro de Investigación en Matemáticas A.C., an internationally recognized program of research in pure mathematics. The conference topics were chosen with an eye toward the presentation of new methods, recent results, and the creation of more interconnections between the different research groups working in complex manifolds and hyperbolic geometry. This volume reflects both the unity and the diversity of these subjects.

Researchers around the globe have been working on problems concerning Riemann surfaces, as well as a wide scope of other issues: the theory of Teichmüller spaces, theta functions, algebraic geometry and classical function theory.

Included here are discussions revolving around questions of geometry that are related in one way or another to functions of a complex variable. There are contributors on Riemann surfaces, hyperbolic geometry, Teichmüller spaces, and quasiconformal maps.

Complex geometry has many applications—triangulations of surfaces, combinatorics, ordinary differential equations, complex dynamics, and the geometry of special curves and jacobians, among others. In this book, research mathematicians in complex geometry, hyperbolic geometry and Teichmüller spaces will find a selection of strong papers by international experts.

Readership

Research mathematicians and graduate students in complex geometry, hyperbolic geometry and Teichmüller spaces.

  • Articles
  • Araceli M. Bonifant and Marius Dabija - Self-maps of ${\Bbb P}^2$ with invariant elliptic curves [ MR 1940161 ]
  • Jeffrey F. Brock - Pants decompositions and the Weil-Petersson metric [ MR 1940162 ]
  • Angel Carocca, Sevín Recillas and Rubí E. Rodríguez - Dihedral groups acting on Jacobians [ MR 1940163 ]
  • Clifford J. Earle - Schwarz’s lemma and Teichmüller contraction [ MR 1940164 ]
  • Clifford J. Earle, Vladimir Markovic and Dragomir Saric - Barycentric extension and the Bers embedding for asymptotic Teichmüller space [ MR 1940165 ]
  • Adam Lawrence Epstein - Symmetric rigidity for real polynomials with real critical points [ MR 1940166 ]
  • Hershel M. Farkas and Irwin Kra - On theta constant identities and the evaluation of trigonometric sums [ MR 1940167 ]
  • Alexander Gamburd and Eran Makover - On the genus of a random Riemann surface [ MR 1940168 ]
  • F. P. Gardiner, J. Hu and N. Lakic - Earthquake curves [ MR 1940169 ]
  • F. P. Gardiner and N. Lakic - Efficient smooth quasiconformal mappings [ MR 1940170 ]
  • T. M. Gendron - The Ehrenpreis conjecture and the moduli-rigidity gap [ MR 1940171 ]
  • Jane Gilman and Linda Keen - Word sequences and intersection numbers [ MR 1940172 ]
  • L. Giraldo and X. Gómez-Mont - A law of conservation of number for local Euler characteristics [ MR 1940173 ]
  • G. González-Díez and W. J. Harvey - On families of algebraic curves with automorphisms [ MR 1940174 ]
  • Rubén A. Hidalgo - Real surfaces, Riemann matrices and algebraic curves [ MR 1940175 ]
  • Nikola Lakic and Sudeb Mitra - Approximation by meromorphic quadratic differentials [ MR 1940176 ]
  • Bernard Maskit - On the topology of classical Schottky space [ MR 1940177 ]
  • R. Silhol - Hyperbolic lego and algebraic curves in genus 2 and 3 [ MR 1940178 ]
  • Perry Susskind - The Margulis region and continued fractions [ MR 1940179 ]
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