Birational Geometry of Algebraic Varieties (Cambridge Tracts in Mathematics, Series Number 134) 1st Edition by Janos Kollár (PDF)

Description

One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori’s program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.

User’s Reviews

Editorial Reviews: Review “The book under review, written by two of the leaders in the field, is a comprehensive treatment of the minimal model program…invaluable for the more advanced student of the minimal model program, as well as researchers in the field.” Mathematical Reviews”…this book, written by two of the main players in this development, answers a demand for a long awaited introductory textbook for the beginners in this field. The expositon is sufficiently elementary, self-contained and comprehensive, and requires fewer prerequisites, so this book will become a standard reference.” Bulletin of the American Mathematical Society Book Description This book provides the first comprehensive introduction to the circle of ideas developed around Mori’s program.

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