Current Topics in Complex Algebraic Geometry

by Clemens, Herbert; Kollar, Janos

• ISBN13: 9781107403840
• ISBN10: 1107403847
• Edition: Revised
• Format: Paperback
• Copyright: 2012-03-29
• Publisher: Cambridge Univ Pr

Summary

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.

Table of Contents

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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