Birational Geometry of Algebraic Varieties
Published on 4. February 2008
Book
Paperback/Softback
264 pages
978-0-521-06022-6 (ISBN)
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.
Reviews / Votes
Review of the hardback: '... 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 Review of the hardback: '... a very good survey of present research.' European Mathematical Society Review of the hardback: '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 Review of the hardback: '... a very good survey of present research ... a very clear presentation of the subject.' EMSMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
434 gr
ISBN-13
978-0-521-06022-6 (9780521060226)
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Schweitzer Classification
Other editions
Additional editions
Janos Kollar | Shigefumi Mori
Birational Geometry of Algebraic Varieties
Book
09/1998
Cambridge University Press
€149.80
Shipment within 15-20 days
Persons
Content
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.