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Introduction to Algebraic Geometry.
・ISBN 978-1-4704-3518-9 hard US$ 135.00
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お気に入り
★★★
| 著者・編者 | Cutkosky, Steven Dale, |
|---|---|
| シリーズ | Graduate Studies in Mathematics |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2018 |
| ページ数 | 488 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-895＞ |
解説
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic $0$ and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters.
With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.