**Contemporary Mathematics**

Volume: 465;
2008;
274 pp;
Softcover

MSC: Primary 14;

Print ISBN: 978-0-8218-4334-5

Product Code: CONM/465

List Price: $86.00

Individual Member Price: $68.80

**Electronic ISBN: 978-0-8218-8144-6
Product Code: CONM/465.E**

List Price: $86.00

Individual Member Price: $68.80

# Curves and Abelian Varieties

Share this page *Edited by *
*Valery Alexeev; Arnaud Beauville; C. Herbert Clemens; Elham Izadi*

This book is devoted to recent progress in the study of curves and abelian varieties. It discusses both classical aspects of this deep and beautiful subject as well as two important new developments, tropical geometry and the theory of log schemes.

In addition to original research articles, this book contains three surveys devoted to singularities of theta divisors, of compactified Jacobians of singular curves, and of “strange duality” among moduli spaces of vector bundles on algebraic varieties.

#### Table of Contents

# Table of Contents

## Curves and Abelian Varieties

- Contents vii8 free
- Preface ix10 free
- List of talks xi12 free
- Compactified Jacobians, Abel maps and Theta divisors 114 free
- Singularities of theta divisors in algebraic geometry 2538
- The diagonal property for abelian varieties 4558
- On isogenous principally polarized abelian surfaces 5164
- Néron models and boundary components for degenerations of Hodge structure of mirror quintic type 7184
- Polarization Type of Isogenous Prym-Tyurin Varieties 147160
- A tour of theta dualities on moduli spaces of sheaves 175188
- Tropical curves, their Jacobians and Theta functions 203216
- Logarithmic interpretation of the main component in toric Hilbert schemes 231244
- On the Universal Principally Polarized Abelian Variety of Dimension 4 253266

#### Readership

Graduate students and research mathematicians interested in algebraic geometry.