Synopses & Reviews
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.
Review
'... an overview of recent developments in the subject ... While this is inevitably a book for the expert, the contributors have tried not to become too technical.' Mathematica
Synopsis
These articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years.
Synopsis
In the last ten years algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away. The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry, and this volume collects survey articles that arose from this event. This book gives a good idea of the intellectual content of the special year and of the four short workshops. The articles help to communicate the new directions in algebraic geometry to a large audience of researchers in algebraic geometry and group theory.
Table of Contents
Preface János Kollár; Fundamental groups of smooth projective varieties Donu Arapura; Vector bundles on curves and generalized theta functions: recent results and open problems Arnaud Beauville; Recent results in higher dimensional birational geometry Alessio Corti; The Schottky problem: an update Olivier Debarre; Spectral covers Ron Donagi; Adjoint linear systems Lawrence Ein; Torelli groups and geometry of moduli spaces of curves Richard M. Hain; Vector bundles and Brill-Noether theory Shigeru Mukai.