Mendeley出力
＜図書＞
A royal road to algebraic geometry
| 責任表示 | Audun Holme |
|---|---|
| データ種別 | 図書 |
| 出版情報 | Berlin : Springer , c2012 |
| 本文言語 | 英語 |
| 大きさ | xiii, 364 p. : ill. ; 25 cm |
| 概要 | This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for le...rning geometry, than to read all of his work Elements. Euclid is said to have answered: "There is no royal road to geometry!" The book starts by explaining this enigmatic answer, the aim of the book being to ague that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck's theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!--P. 4 of cover.続きを見る |
| 目次 | Pt. I: Curves 1. Affine and Projective Space 2. Curves in AÂ2 [subscript k] and in PÂ2 [subscript k] 3. Higher Geometry in the Projective Plane 4. Plane Curves and Algebra 5. Projective Varieties in P [ superscript] N [subscript] k Pt. II: Introduction to Grothendieck's Theory of Schemes 6. Categories and Functors 7. Constructions and Representable 8. Abelian Categories 9. The Concept of Spec(A) 10. The Category of Schemes 11. Properties of Morphisms of Schemes 12. Modules, Algebras and Bundles on a. Scheme 13. More Properties of Morphisms, Scheme Theoretic Image and the "Sorite" 14. Projective Schemes and Bundles 15. Further Properties of Morphisms 16. Conormal Sheaf and Projective Bundles 17. Cohomology Theory on Schemes 18. Intersection Theory 19. Characteristic Classes in Algebraic Geometry 20. The Riemann-Roch Theorem 21. Some Basic Constructions in the Category of Projective k - 22. More on Duality.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7016039 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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: hbk | 理系図3F 数理独自 | HOLM/12/2 | 2012 |
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033212011005601 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Holme, Audun, 1938- |
| 書誌ID | 1001460866 |
| ISBN | 9783642192241 |
| NCID | BB07386712 |
| 巻冊次 | : hbk ; ISBN:9783642192241 |
| NBN | 015842354 |
| 登録日 | 2011.11.28 |
| 更新日 | 2017.02.18 |