Birational Geometry of Algebraic Varieties

Erscheinungsjahr 2002
ISBN: 978-0-521-63277-5
Verlag: Cambridge University Press

Buch, Englisch, Band 134, 262 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 584 g

Reihe: Cambridge Tracts in Mathematics

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.

Autoren/Hrsg.

Kollár, Janos

Mori, Shigefumi

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.