Current Topics in Complex Algebraic Geometry

by Herbert Clemens, Janos Kollár

Overview

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.

Product Details

ISBN-13:	9781107403840
Publisher:	Cambridge University Press
Publication date:	03/29/2012
Series:	Mathematical Sciences Research Institute Publications , #28
Edition description:	Reissue
Pages:	172
Product dimensions:	6.14(w) x 9.21(h) x 0.35(d)

Table of Contents

Preface János Kollár; 1. Fundamental groups of smooth projective varieties Donu Arapura; 2. Vector bundles on curves and generalized theta functions: recent results and open problems Arnaud Beauville; 3. Recent results in higher dimensional birational geometry Alessio Corti; 4. The Schottky problem: an update Olivier Debarre; 5. Spectral covers Ron Donagi; 6. Adjoint linear systems Lawrence Ein; 7. Torelli groups and geometry of moduli spaces of curves Richard M. Hain; 8. Vector bundles and Brill–Noether theory Shigeru Mukai.

Editorial Reviews

Review of the hardback: '… 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

From the Publisher