Curves and Abelian Varieties

"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 Jucobiuns of singular curves, and of "strange duality" among moduli spaces of vector bundles on algebraic varieties."--BOOK JACKET.

Compactified Jacobians, Abel maps and theta divisors
Singularities of theta divisors in algebraic geometry
The diagonal property for abelian varieties
On isogenous principally polarized abelian surfaces
Neron models and boundary components for degenerations of Hodge structure of mirror quintic type
Polarization type of isogenous Prym-Tyurin varieties
A tour of theta dualities on moduli spaces of sheaves
Tropical curves, their Jacobians and theta functions
Logarithmic interpretation of the main component in toric Hilbert schemes
On the universal principally polarized abelian variety of dimension 4
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Curves and Abelian Varieties

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