Birational geometry of algebraic varieties
Author(s)
Bibliographic Information
Birational geometry of algebraic varieties
（Cambridge tracts in mathematics, 134）
Cambridge University Press, 2008, c1998
- : pbk
- Other Title
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Souyuuri Kikagaku
双有理幾何学
Available at 6 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkKOL||14||3200040018505
Note
Includes bibliographical references and index
"Translated from Souyuuri Kikagaku published by Iwanami Shoten Publishers, Tokyo, 1998" -- On t.p. verso
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"