国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra

国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra 下载 mobi epub pdf 电子书 2024


简体网页||繁体网页
A.N.Parshin,I.R.Shafarevich(Eds.) 著



点击这里下载
    


想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-11-04

类似图书 点击查看全场最低价

图书介绍

出版社: 科学出版社有限责任公司
ISBN:9787030234872
版次:1
商品编码:11895609
包装:精装
丛书名: 国外数学名著系列(续一)(影印版)44
外文名称:Algebraic Geometry 3:Complex Algebraic Varieties, Algebraic Curves and Their Jacobians


相关图书





图书描述

内容简介

  The first contribution of this EMS volume on complex algebraic geometry touchres upon many ofthe central problems in this vast and very active area of current research. While it is much too short to
  provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage ofcertain very important fields.
  The second part provides a l,rief and lucid introduction to the recent work on the interactions between the classical area of the geometry ofcomplex algebraic curves and their Jacobian varieties, and Partial differential Equations ofmathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiots, and would be an excellent companion to the older classics on the subject.

内页插图

目录

Introduction

Chapter 1. Classical Hodge Theory
1.Algebraic Varieties
2.Complex Manifolds
3.A Comparison Between Algebraic Varieties and Analytic Spaces
4.Complex Manifolds as C Manifolds
5.Connections on Holomorphic Vector Bundles
6.Hermitian Manifolds
7.Kahler Manifolds
8.Line Bundles and Divisors
9.The Kodaira Vanishing Theorem
10.Monodromy

Chapter 2. Periods of Integrals on Algebraic Varieties
1.Classifying Space
2.Complex Tori
3.The Period Mapping
4.Variation of Hodge Structures
5.Torelli Theorems
6.Infinitesimal Variation of Hodge Structures

Chapter 3. Torelli Theorems
1.Algebraic Curves
2.The Cubic Threefold
3.K3 Surfaces and Elliptic Pencils
4.Hypersurfaces
5.Counterexamples to Torelli Theorems

Chapter 4. Mixed Hodge Structures
1.Definition of mixed Hodge structures
2.Mixed Hodge structure on the Cohomology of a Complete Variety with Normal Crossings
3.Cohomology of Smooth Var/eties
4.The Invariant Subspace Theorem
5.Hodge Structure on the Cohomology of Smooth Hypersurfaces
6.Further Development of the Theory of Mixed Hodge Structures

Chapter 5.Degenerations of Algebraic Varieties
1.Degenerations of Manifolds
2.The Limit Hodge Structure
3.The Clemens-Schmid Exact Sequence
4.An Application of the Clemens-Schmid Exact Sequence to theDegeneration of Curves
5.An Application of the Clemens-Schmid Exact Sequence to Surface Degenerations The Relationship Between the Numerical Invariants of the Fibers Xt and Xo
6.The Epimorphicity of the Period Mapping for K3 Surfaces

Comments on the bibliography
References
Index

前言/序言


国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra 下载 mobi epub pdf txt 电子书 格式

国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra 下载 mobi pdf epub txt 电子书 格式 2024

国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra 下载 mobi epub pdf 电子书
想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

评分

评分

评分

评分

评分

评分

评分

评分

类似图书 点击查看全场最低价

国外数学名著系列44(续一 影印版) 代数几何3:复代数簇,代数曲线及雅可比行列式 [Algebraic Geometry 3:Complex Algebraic Varieties, Algebra mobi epub pdf txt 电子书 格式下载 2024


分享链接








相关图书


本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 book.teaonline.club All Rights Reserved. 图书大百科 版权所有