**Contemporary Mathematics**

Volume: 311;
2002;
343 pp;
Softcover

MSC: Primary 11; 14; 30; 32; 37;

Print ISBN: 978-0-8218-2957-8

Product Code: CONM/311

List Price: $105.00

Individual Member Price: $84.00

**Electronic ISBN: 978-0-8218-7901-6
Product Code: CONM/311.E**

List Price: $105.00

Individual Member Price: $84.00

# Complex Manifolds and Hyperbolic Geometry

Share this page *Edited by *
*Clifford J. Earle; William J. Harvey; Sevín Recillas-Pishmish*

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.

#### Table of Contents

# Table of Contents

## Complex Manifolds and Hyperbolic Geometry

- Contents v6 free
- Preface vii8 free
- Self-maps of P2 with invariant elliptic curves 110 free
- Pants decompositions and the Weil-Petersson metric 2736
- Dihedral groups acting on Jacobians 4150
- Schwarz's lemma and Teichmüller contraction 7988
- Barycentric extension and the Bers embedding for asymptotic Teichmüller space 8796
- Symmetric rigidity for real polynomials with real critical points 107116
- On theta constant identities and the evaluation of trigonometric sums 115124
- On the genus of a random Riemann surface 133142
- Earthquake curves 141150
- Efficient smooth quasiconformal mappings 197206
- The Ehrenpreis conjecture and the moduli-rigidity gap 207216
- Word sequences and intersection numbers 231240
- A law of conservation of number for local Euler characteristics 251260
- On families of algebraic curves with automorphisms 261270
- Real surfaces, Riemann matrices and algebraic curves 277286
- Approximation by meromorphic quadratic differentials 301310
- On the topology of classical Schottky space 305314
- Hyperbolic lego and algebraic curves in genus 2 and 3 313322
- The Margulis region and continued fractions 335344

#### Readership

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