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Higher-Dimensional Algebraic Geometry. 2001 ed..
・ISBN 978-0-387-95227-7 hard EUR 79.99
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お気に入り
★★★
| 著者・編者 | Debarre, Olivier, |
|---|---|
| シリーズ | Universitext |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2001 |
| ページ数 | 234 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-23439＞ |
解説
Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to provide an easily accessible introduction to the subject.
The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Mori's minimal model program of classification of algebraic varieties by proving the cone and contraction theorems.
The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction to graduate students and researchers.
The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Mori's minimal model program of classification of algebraic varieties by proving the cone and contraction theorems.
The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction to graduate students and researchers.