Birational Geometry of Algebraic Varieties
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Birational Geometry of Algebraic Varieties by Janos Kollar
Book DescriptionOne 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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Book DetailsISBN: 9780521060226
(228mm x 152mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 4-Feb-2008
Country of Publication: United Kingdom
Books By Author Janos Kollar
Singularities of the Minimal Model Program, Hardback (February 2013)
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
Current Topics in Complex Algebraic Geometry, Paperback (January 2012)
The articles in this 1996 volume represent the change of direction and branching out witnessed by algebraic geometry in the early 90s.
Lectures on Resolution of Singularities, Paperback (February 2007)» View all books by Janos Kollar
Resolution of singularities is a powerful and frequently used tool in algebraic geometry. This book provides a comprehensive treatment of the characteristic 0 case. It describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether.
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