- ISBN 9780521632775 / 0521632773
- Title Birational Geometry of Algebraic Varieties
- Author Janos Kollar and Mori Shigefumi
- Category Algebraic Geometry
- Format Hardcover
- Year 1998
- Pages 264
- Publisher Cambridge University Press
- Imprint Cambridge University Press
- Language English
- Dimensions 161mm x 23mm x 236mm
This book provides the first comprehensive introduction to the circle of ideas developed around Mori's program.
One of the major discoveries of the last two decades 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 first 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.
From the hardback review: '... the book is very crisply written, unusually easy to read for a book covering advanced material, and is moreover very concise for the book for reference, but is also an ideal book on which to base a series of seminars for research students, or indeed for research students to read by themselves.' P. M. H. Wilson, Bulletin of the London Mathematical Society From the hardback review: '... a very good survey of present research.' European Mathematical Society From the hardback review: 'I can recommend it to anyone wanting to get a deeper knowledge than just getting a survey of some facts on the classification theory.' M. Coppens, Niew Archief voor Wiskunde From the hardback review: '... a very good survey of present research ... a very clear presentation of the subject.' EMS
Janos Kollar is a professor of Mathematics at Princeton University.