点击选择搜索分类
首页 - 反恐- 正文
☆☆☆☆☆
||
[美] 弗里德曼(Friedman.R.) 著
出版社: 世界图书出版公司 ISBN:9787510004681 版次:1 商品编码:10888246 包装:平装 外文名称:Algebraic Surfaces and Holomorphic Vector Bundle 开本:24开 出版时间:2009-06-01 用纸:胶版纸 页数:328
Introduction
1 Curves on a Surface
Introduction
Invariants of a surface
Divisors on a surface
Adjunetion and arithmetic genus
The Riemann-Roch formula
Algebraic proof of the Hodge index theorem
Ample and nef divisors
Exercises
2 Coherent Sheaves
What is a coherent sheaf?
A rapid review of Chern classes for projective varieties
Rank 2 bundles and sub-line bundles
Elementary modifications
Singularities of coherent sheaves
Torsion free and reflexive sheaves
Double covers
Appendix: some commutative algebra
Exercises
3 B|ratlonal Geometry
Blowing up
The Castelnuovo criterion and factorization of birationa] morphisms
Minimal models
More general contractions
Exercises
4 Stability
Definition of Mumford-Takemoto stability
Examples for curves
Some examples of stable bundles on p2
Gieseker stability
Unstable and semlstable sheaves
Change of polarization
The differential geometry of stable vector bundles
Exercises
5 Some Examples of Surfaces
Rational ruled surfaces
General ruled surfaces
Linear systems of cubics
An introduction to K3 surfaces
Exercises
6 Vector Bundles over Ruled Surfaces
Suitable ample divisors
Ruled sur faces
A brief introduction to local and global moduli
A Zariski open subeet of the moduli space
Exercises
7 An Introduction to Elliptic Surfaces
Singular fibers
Singulex fibers of elliptic fibrations
lnvariants and the canonical bundle formula
Elliptic surfaces with a section and Weierstrass models
More general elliptic surfaces
The fundamental group
Exercises
8 Vector Bundles over Elliptic Surfaces
Stable bundles on singular curves
Stable bundles of odd fiber degree over elliptie surface*
A Zariski open subset of the modnii space
An overview of Donaldson invariants
The 2-dimensional invariant
……
9 Bogomolov's Inequality and Applications
10 Classification of Algebraic Surfaces and of Stable Bundles
References
Index
代数曲面和全纯向量丛 [Algebraic Surfaces and Holomorphic Vector Bundle] 电子书 下载 mobi epub pdf txt
代数曲面和全纯向量丛 [Algebraic Surfaces and Holomorphic Vector Bundle]-so88
代数曲面和全纯向量丛 [Algebraic Surfaces and Holomorphic Vector Bundle] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 弗里德曼(Friedman.R.) 著
出版社: 世界图书出版公司 ISBN:9787510004681 版次:1 商品编码:10888246 包装:平装 外文名称:Algebraic Surfaces and Holomorphic Vector Bundle 开本:24开 出版时间:2009-06-01 用纸:胶版纸 页数:328
目录
PrefaceIntroduction
1 Curves on a Surface
Introduction
Invariants of a surface
Divisors on a surface
Adjunetion and arithmetic genus
The Riemann-Roch formula
Algebraic proof of the Hodge index theorem
Ample and nef divisors
Exercises
2 Coherent Sheaves
What is a coherent sheaf?
A rapid review of Chern classes for projective varieties
Rank 2 bundles and sub-line bundles
Elementary modifications
Singularities of coherent sheaves
Torsion free and reflexive sheaves
Double covers
Appendix: some commutative algebra
Exercises
3 B|ratlonal Geometry
Blowing up
The Castelnuovo criterion and factorization of birationa] morphisms
Minimal models
More general contractions
Exercises
4 Stability
Definition of Mumford-Takemoto stability
Examples for curves
Some examples of stable bundles on p2
Gieseker stability
Unstable and semlstable sheaves
Change of polarization
The differential geometry of stable vector bundles
Exercises
5 Some Examples of Surfaces
Rational ruled surfaces
General ruled surfaces
Linear systems of cubics
An introduction to K3 surfaces
Exercises
6 Vector Bundles over Ruled Surfaces
Suitable ample divisors
Ruled sur faces
A brief introduction to local and global moduli
A Zariski open subeet of the moduli space
Exercises
7 An Introduction to Elliptic Surfaces
Singular fibers
Singulex fibers of elliptic fibrations
lnvariants and the canonical bundle formula
Elliptic surfaces with a section and Weierstrass models
More general elliptic surfaces
The fundamental group
Exercises
8 Vector Bundles over Elliptic Surfaces
Stable bundles on singular curves
Stable bundles of odd fiber degree over elliptie surface*
A Zariski open subset of the modnii space
An overview of Donaldson invariants
The 2-dimensional invariant
……
9 Bogomolov's Inequality and Applications
10 Classification of Algebraic Surfaces and of Stable Bundles
References
Index
前言/序言
代数曲面和全纯向量丛 [Algebraic Surfaces and Holomorphic Vector Bundle] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 贪玩的人类3--改变世界的中国智慧 9787030521323 老多(李建荣)-RT
- 看里面系列第2辑:揭秘太空 [3-10岁]
- 别逗了费曼先生 RP费曼
- 环球寻宝记系列【33本任选1本】我的第一本科学漫画书1-33册7-14岁少儿童图书籍 捷克 (25)新西兰寻宝记
- 图解机器的奥秘——机器是怎样工作的 正版图书
- 絕叫
- 阿司匹林传奇 【英】迪尔米德·杰弗里斯
- 中国成语大会·我的智慧成语世界·儿童彩绘版(套装1-6册) [7-14岁]
- 奥秘探索 世界奇闻怪事
- 【中商原版】港台原版 简单.丰盛.美好:祖宜的中西家常菜 庄祖宜 新经典文化全彩烹饪食谱
- 数学女孩2 费马大定理
- 超级飞侠 欢乐大迷宫(套装共4本)/企鹅萌萌 [2-8岁]
- 半知一解:世界经典趣味哲学 文汇出版社
- 多纳逆商教育(套装共5册) [3-6岁]
- 科学视野——生物