Birational Geometry of Algebraic Varieties
$140.00 (C)
Part of Cambridge Tracts in Mathematics
- Authors:
- Janos Kollár, University of Utah
- Shigefumi Mori, RIMS, Kyoto University, Japan
- Date Published: October 1998
- availability: Available
- format: Hardback
- isbn: 9780521632775
$
140.00
(C)
Hardback
Other available formats:
Paperback, eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact [email protected] providing details of the course you are teaching.
-
One of the major discoveries of the past 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.
Read more- Unique treatment
- Suitable for non-experts
- Author is Field's medalist (mathematical equivalent of the Nobel Prize)
Reviews & endorsements
"The book under review, written by two of the leaders in the field, is a comprehensive treatment of the minimal model program...invaluable for the more advanced student of the minimal model program, as well as researchers in the field." Mathematical Reviews
See more reviews"...this book, written by two of the main players in this development, answers a demand for a long awaited introductory textbook for the beginners in this field. The expositon is sufficiently elementary, self-contained and comprehensive, and requires fewer prerequisites, so this book will become a standard reference." Bulletin of the American Mathematical Society
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: October 1998
- format: Hardback
- isbn: 9780521632775
- length: 264 pages
- dimensions: 236 x 161 x 20 mm
- weight: 0.485kg
- availability: Available
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.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×