Higher-Dimensional Algebraic Geometry (Universitext)

Type

Book

Authors

Debarre ( Olivier Debarre )

ISBN 10

0387952276

ISBN 13

9780387952277

Tags

Algebraic Geometry, Geometry

Description

The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction. - from Amzon

Number of Copies