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Birational geometry of algebraic varieties / János Kollár, Shigefumi Mori, with the collaboration of C.H. Clemens and A. Corti.

By: Contributor(s): Material type: TextTextLanguage: English Original language: Japanese Series: Cambridge tracts in mathematics ; 134.Publisher: Cambridge : Cambridge University Press, 1998Description: 1 online resource (viii, 254 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511662560 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516.3/5 21
LOC classification:
  • QA571 .K65 1998
Online resources: Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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