Current Topics in Complex Algebraic Geometry

ISBN-13: 9780521562447 / Angielski / Twarda / 1996 / 172 str.

Herbert Clemens; Janos Kollar; C. H. Clemens

Opis

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.

Recenzje

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

Spis treści

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.