Birational Geometry of Algebraic Varieties

ISBN-13: 9780521632775 / Angielski / Twarda / 1998 / 264 str.

Janos Kollar; Mori Shigefumi; Shigefumi Mori

Opis

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.

Recenzje

Review of the hardback: '… a very good survey of present research … a very clear presentation of the subject.' EMS

Spis treści

1. Rational curves and the canonical class; 2. Introduction to minimal model program; 3. Cone theorems; 4. Surface singularities; 5. Singularities of the minimal model program; 6. Three dimensional flops; 7. Semi-stable minimal models.