Introduction to the Mori Program /

The purpose of this book is to give a comprehensible account of what is called Mori's Program, that is an approach to the following problem: classify all the projective varieties X /in P^n over C up to isomorphism. Mori's Program is a fusion of the so-called Minimal Model Program and the I...

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Bibliographic Details
Main Author: Matsuki, Kenji
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2002.
Series:Universitext,
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Birational Geometry of Surfaces
  • Logarithmic Category
  • Overview of Mori's Program
  • Singularities
  • Vanishing Theorems
  • Base Point Freeness of Linear Systems
  • Cone Theorem
  • Contraction Theorem
  • Flip
  • Cone Theorem Revisited
  • Logarithmic Mori's Program
  • Birational Relations among Minimal Models
  • Birational Relations among Mori Fiber Spaces
  • Birational Geometry of Toric Varieties.