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Janos Kollár,

Birational geometry of algebraic varieties - Cambridge, U.K.: Cambridge University Press, [c1998] - 254 p - Cambridge Tracts in Mathematics 134 .

1 - Rational Curves and the Canonical Class
2 - Introduction to the Minimal Model Program
3 - Cone Theorems
4 - Surface Singularities of the Minimal Model Program
5 - Singularities of the Minimal Model Program
6 - Three-dimensional Flops
7 - Semi-stable Minimal Models

One of the major discoveries of the last two decades of the twentieth century 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 a 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. --- summary provided by publisher

ISBN: 9780521060226

Subjects--Topical Terms:
Mathematics
Geometry and Topology

LC Class. No.: QA571