点击选择搜索分类
首页 - 经典著作- 正文
☆☆☆☆☆
||
[意] E.阿尔巴雷洛(Enrico Arbarello) 著
出版社: 世界图书出版公司 ISBN:9787510075919 版次:1 商品编码:11593483 包装:平装 外文名称:Geometry of Algebraic Curves Volume 2 Part 1 开本:24开 出版时间:2014-08-01 用纸:胶版纸 页数:328 正文语种:英文
List of Symbols
Chapter Ⅸ.The Hilbert Scheme
1.Introduction
2.The idea of the Hilbert scheme
3.Flatness
4.Construction of the Hilbert scheme
5.The characteristic system
6.Mumford's example
7.Variants of the Hilbert scheme
8.Tangent space computations
9.Ci families of projective manifolds
10.Bibliographical notes and further reading
11.Exercises
Chapter Ⅹ.Nodal curves
1.Introduction
2.Elementary theory of nodal curves
3.Stable curves
4.Stable reduction
5.Isomorphisms of families of stable curves
6.The stable model, contraction, and projection
7.Clutching
8.Stabilization
9.Vanishing cycles and the Picard-Lefschetz transformation
10.Bibliographical notes and further reading
11.Exercises
Chapter ⅩⅠ.Elementary deformation theory and some applications
1.Introduction
2.Deformations of manifolds
3.Deformations of nodal curves
4.The concept of Kuranishi family
5.The Hilbert scheme of v-canonical curves
6.Construction of Kuranishi families
7.The Kuranishi family and continuous deformations
8.The period map and the local Torelli theorem
9.Curvature of the Hodge bundles
10.Deformations of symmetric products
11.Bibliographical notes and further reading
Chapter ⅩⅡ.The moduli space of stable curves
1.Introduction
2.Construction of moduli space as an analytic space
3.Moduli spaces as algebraic spaces
4.The moduli space of curves as an orbifold
5.The moduli space of curves as a stack, Ⅰ
6.The classical theory of descent for quasi-coherent sheaves
7.The moduli space of curves as a stack Ⅱ
8.Deligne-Mumford stacks
9.Back to algebraic spaces
10.The universal curve, projections and clutchings
11.Bibliographical notes and further reading
12.Exercises
Chapter ⅩⅢ Line bundles on moduli
1.Introduction
2.Line bundles on the moduli stack of stable curves
3.The tangent bundle to moduli and related constructions
4.The determinant of the cohomology and some applications
5.The Deligne pairing
6.The Picard group of moduli space
7.Mumford's formula
8.The Picard group of the hyperelliptic locus
9.Bibliographical notes and further reading
Chapter ⅩⅣ.Projectivity of the moduli space of stable curves
1.Introduction
2.A little invariant theory
3.The invariant-theoretic stability of linearly stable smooth curves
4.Numerical inequalities for families of stable curves
5.Projectivity of moduli spaces
6.Bibliographical notes and further reading
Chapter ⅩⅤ. The Teichmuller point of view
Chapter ⅩⅥ. Smooth Galois covers of moduli spaces
Chapter ⅩⅦ. Cycles in the moduli spaces of stable curves
Chapter ⅩⅧ. Cellular decomposition of moduli spaces
Chapter ⅩⅨ. First consequences of the cellular decomposition
Chapter ⅩⅩ. Intersection theory of tautological classes
Chapter ⅩⅩⅠ. Brill-Noether theory on a moving curve
代数曲线几何(第2卷 第1分册) [Geometry of Algebraic Curves Volume 2 Part 1] 电子书 下载 mobi epub pdf txt
代数曲线几何(第2卷 第1分册) [Geometry of Algebraic Curves Volume 2 Part 1]-so88
代数曲线几何(第2卷 第1分册) [Geometry of Algebraic Curves Volume 2 Part 1] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[意] E.阿尔巴雷洛(Enrico Arbarello) 著
出版社: 世界图书出版公司 ISBN:9787510075919 版次:1 商品编码:11593483 包装:平装 外文名称:Geometry of Algebraic Curves Volume 2 Part 1 开本:24开 出版时间:2014-08-01 用纸:胶版纸 页数:328 正文语种:英文
内容简介
《代数曲线几何(第2卷 第1分册)》是英文版的代数曲线的书。代数几何是现代数学的一个重要分支学科。它的基本研究对象是在任意维数的(仿射或射影)空间中,由若干个代数方程的公共零点所构成的集合的几何特性。这样的集合通常叫做代数簇,而这些方程叫做这个代数簇的定义方程组。内页插图
目录
Guide for the ReaderList of Symbols
Chapter Ⅸ.The Hilbert Scheme
1.Introduction
2.The idea of the Hilbert scheme
3.Flatness
4.Construction of the Hilbert scheme
5.The characteristic system
6.Mumford's example
7.Variants of the Hilbert scheme
8.Tangent space computations
9.Ci families of projective manifolds
10.Bibliographical notes and further reading
11.Exercises
Chapter Ⅹ.Nodal curves
1.Introduction
2.Elementary theory of nodal curves
3.Stable curves
4.Stable reduction
5.Isomorphisms of families of stable curves
6.The stable model, contraction, and projection
7.Clutching
8.Stabilization
9.Vanishing cycles and the Picard-Lefschetz transformation
10.Bibliographical notes and further reading
11.Exercises
Chapter ⅩⅠ.Elementary deformation theory and some applications
1.Introduction
2.Deformations of manifolds
3.Deformations of nodal curves
4.The concept of Kuranishi family
5.The Hilbert scheme of v-canonical curves
6.Construction of Kuranishi families
7.The Kuranishi family and continuous deformations
8.The period map and the local Torelli theorem
9.Curvature of the Hodge bundles
10.Deformations of symmetric products
11.Bibliographical notes and further reading
Chapter ⅩⅡ.The moduli space of stable curves
1.Introduction
2.Construction of moduli space as an analytic space
3.Moduli spaces as algebraic spaces
4.The moduli space of curves as an orbifold
5.The moduli space of curves as a stack, Ⅰ
6.The classical theory of descent for quasi-coherent sheaves
7.The moduli space of curves as a stack Ⅱ
8.Deligne-Mumford stacks
9.Back to algebraic spaces
10.The universal curve, projections and clutchings
11.Bibliographical notes and further reading
12.Exercises
Chapter ⅩⅢ Line bundles on moduli
1.Introduction
2.Line bundles on the moduli stack of stable curves
3.The tangent bundle to moduli and related constructions
4.The determinant of the cohomology and some applications
5.The Deligne pairing
6.The Picard group of moduli space
7.Mumford's formula
8.The Picard group of the hyperelliptic locus
9.Bibliographical notes and further reading
Chapter ⅩⅣ.Projectivity of the moduli space of stable curves
1.Introduction
2.A little invariant theory
3.The invariant-theoretic stability of linearly stable smooth curves
4.Numerical inequalities for families of stable curves
5.Projectivity of moduli spaces
6.Bibliographical notes and further reading
Chapter ⅩⅤ. The Teichmuller point of view
Chapter ⅩⅥ. Smooth Galois covers of moduli spaces
Chapter ⅩⅦ. Cycles in the moduli spaces of stable curves
Chapter ⅩⅧ. Cellular decomposition of moduli spaces
Chapter ⅩⅨ. First consequences of the cellular decomposition
Chapter ⅩⅩ. Intersection theory of tautological classes
Chapter ⅩⅩⅠ. Brill-Noether theory on a moving curve
前言/序言
代数曲线几何(第2卷 第1分册) [Geometry of Algebraic Curves Volume 2 Part 1] 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
- 图解机器的奥秘——机器是怎样工作的 正版图书
- 兴唐传(套装全34册,白盒装)
- 解读地球密码 中生代霸主:恐龙
- 可操作的地震预测预报
- 叶永烈科普全集(全28册) 9787220102752
- 圣斗士星矢漫画书全套集1-28卷完结版中国少年儿童出版社
- 物种起源:大自然的谜题 9787512713970
- 溯源探幽:熵的世界 冯端,冯少彤
- WL-别莱利曼的趣味物理学-(俄)雅科夫·伊西达洛维奇·别莱利曼 石油工业出版社 9787
- 【更新至52册任选一本】新版爆笑校园52册 爆笑校园漫画书全集 世界漫画系列丛书小学生7-10岁 爆笑校园5
- BF-毒物管理史-世界毒物全史-71-80卷-史志诚 西北大学出版社 9787560438
- 正版现货 我的青春恋爱物语喜剧果然有问题11 轻小说 安少出品 正版现货 送书签
- 上帝的错觉 海南出版社
- 天机:大西国揭秘 第四部 燃烧的星空 9787515820378 叶远-RT
- 枪械风云榜-兵器帝国大揭秘-儿童视觉大系