《代數曲線幾何(第1卷)(英文)》內容豐富且比較新穎，習題選取不落俗套，與基本課本相互配合併作其理論部分的補充，可供綜合大學和師範大學數學、物理、力學及相關專業的教師和學生參考使用，工科大學套用數學系也可當作教材或主要參考書。
基本介紹
- 書名：代數曲線幾何
- 作者：阿爾巴雷洛 (Arbarello E.)
- 出版日期：2014年5月1日
- 語種：簡體中文, 英語
- ISBN：9787510075902
- 外文名：Geometry of Algebraic Curves
- 出版社：世界圖書出版公司北京公司
- 頁數：386頁
- 開本：24
- 品牌：世界圖書出版公司北京公司
基本介紹,內容簡介,作者簡介,圖書目錄,
基本介紹
內容簡介
《代數曲線幾何(第1卷)(英文)》由世界圖書出版公司北京公司出版。
作者簡介
作者：（義大利）阿爾巴雷洛（Arbarello E.）
圖書目錄
Guide for the Reader
List of Symbols
CHAPTER Ⅰ
Preliminaries
1. Divisors and Line Bundles on Curves
2. The Riemann-Roch and Duality Theorems
3. Abel's Theorem
4. Abelian Varieties and the Theta Function
5. Poincar6's Formula and Riemann's Theorem
6. A Few Words About Moduli
Bibliographical Notes
Exercises
A. Elementary Exercises on Plane Curves
B. Projections
C. Ramification and Pliicker Formulas
D. Miscellaneous Exercises on Linear Systems
E. Weierstrass Points
F. Automorphisms
G. Period Matrices
H. Elementary Properties of Abelian Varieties
APPENDIX A
The Riemann-Roch Theorem, Hodge Theorem, and
Adjoint Linear Systems
1. Applications of the Discussion About Plane Curves with Nodes
2. Adjoint Conditions in General
CHAPTER Ⅱ
Determinantal Varieties
1. Tangent Cones to Analytic Spaces
2. Generic Determinantal Varieties: Geometric Description
3. The Ideal of a Generic Determinantal Variety
4. Determinantal Varieties and Porteous' Formula
(i) Sylvester's Determinant
(ii) The Top Chern Class of a Tensor Product
(iii) Porteous' Formula
(iv) What Has Been Proved
……
Bibliography
Index
List of Symbols
CHAPTER Ⅰ
Preliminaries
1. Divisors and Line Bundles on Curves
2. The Riemann-Roch and Duality Theorems
3. Abel's Theorem
4. Abelian Varieties and the Theta Function
5. Poincar6's Formula and Riemann's Theorem
6. A Few Words About Moduli
Bibliographical Notes
Exercises
A. Elementary Exercises on Plane Curves
B. Projections
C. Ramification and Pliicker Formulas
D. Miscellaneous Exercises on Linear Systems
E. Weierstrass Points
F. Automorphisms
G. Period Matrices
H. Elementary Properties of Abelian Varieties
APPENDIX A
The Riemann-Roch Theorem, Hodge Theorem, and
Adjoint Linear Systems
1. Applications of the Discussion About Plane Curves with Nodes
2. Adjoint Conditions in General
CHAPTER Ⅱ
Determinantal Varieties
1. Tangent Cones to Analytic Spaces
2. Generic Determinantal Varieties: Geometric Description
3. The Ideal of a Generic Determinantal Variety
4. Determinantal Varieties and Porteous' Formula
(i) Sylvester's Determinant
(ii) The Top Chern Class of a Tensor Product
(iii) Porteous' Formula
(iv) What Has Been Proved
……
Bibliography
Index
