Current Topics in Complex Algebraic Geometry

This volume collects a series of survey articles on complex algebraic geometry, which in the early 1990s was undergoing a major change. Algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away. This book gives a good idea of the intellectual content of the change of direction and branching out witnessed by algebraic geometry in the past few years.

Preface
Fundamental groups of smooth projective varieties
Vector bundles on curves and generalized theta functions: recent results and open problems
Recent results in higher dimensional birational geometry
The Schottky problem: an update
Spectral covers
Adjoint linear systems
Torelli groups and geometry of moduli spaces of curves
Vector bundles and Brill-Noether theory
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Current Topics in Complex Algebraic Geometry

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Supplemental Materials