The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus. 此書為英文版！
基本介紹
- 書名：基礎代數幾何
- 出版社：世界圖書出版公司
- 頁數：303頁
- ISBN：7506236192
- 品牌：世界圖書出版公司北京公司
- 作者：I.R.Shafarevich
- 出版日期：2004年5月1日
- 開本：24開
- 定價：48.00
內容簡介,圖書目錄,
內容簡介
The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus.
圖書目錄
BOOK 1. Varieties in Projective Space
Chapter I. Basic Notions
1. Algebraic Curves in the Plane
1.1. Plane Curves
1.2. Rational Curves
1.3. Relation with Field Theory
1.4. Rational Maps
1.5. Singular and Nonsingular Points
1.6. The Projective Plane
Exercises to 1
2. Closed Subsets of Affine Space
2.1. Definition of Closed Subsets
2.2. Regular Functions on a Closed Subset
2.3. Regular Maps
Exercises to 2
3. Rational Functions
3.1. Irreducible Algebraic Subsets
3.2. Rational Functions
3.3. Rational Maps
Exercises to 3
4 Quasiprojectiove Varieties
4.1 Closied Subsets of Projectiive Space
4.2 Regular Functions
4.3 Rational Functions
4.4 Examples of Regual Maps
Exercises to 4
……
Chapter Ⅱ Local Properties
Chapter Ⅲ Divisors and Differential Forms
Chapter Ⅳ Intersection Numbers
Algebraic Appendix
Rererences
Index
Chapter I. Basic Notions
1. Algebraic Curves in the Plane
1.1. Plane Curves
1.2. Rational Curves
1.3. Relation with Field Theory
1.4. Rational Maps
1.5. Singular and Nonsingular Points
1.6. The Projective Plane
Exercises to 1
2. Closed Subsets of Affine Space
2.1. Definition of Closed Subsets
2.2. Regular Functions on a Closed Subset
2.3. Regular Maps
Exercises to 2
3. Rational Functions
3.1. Irreducible Algebraic Subsets
3.2. Rational Functions
3.3. Rational Maps
Exercises to 3
4 Quasiprojectiove Varieties
4.1 Closied Subsets of Projectiive Space
4.2 Regular Functions
4.3 Rational Functions
4.4 Examples of Regual Maps
Exercises to 4
……
Chapter Ⅱ Local Properties
Chapter Ⅲ Divisors and Differential Forms
Chapter Ⅳ Intersection Numbers
Algebraic Appendix
Rererences
Index
