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
Algebraic geometry: an introduction to birational geometry of algebraic varieties
โ Scribed by S. Iitaka
- Book ID
- 127417942
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 3 MB
- Series
- Graduate texts in mathematics 76
- Category
- Library
- City
- New York
- ISBN
- 0387905464
No coin nor oath required. For personal study only.
โฆ Synopsis
The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in particular to the birational geometry of algebraic varieties.This volume grew out of the author's book in Japanese published in 3 volumes by Iwanami, Tokyo, in 1977. While writing this English version, the author has tried to rearrange and rewrite the original material so that even beginners can read it easily without referring to other books, such as textbooks on commutative algebra. The reader is only expected to know the definition of Noetherin rings and the statement of the Hilbert basis theorem.
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