代数几何原理

出版时间：2007-5  出版社：世界图书出版公司  作者：格里菲思（Griffiths.P.）,哈里斯（Harris.J）  页数：813  
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内容概要

A third general principle was that this volume should be stir-contained.In particular any "hard" result that would be utilized should be fullyproved. A difficulty a student often faces in a subject as diverse as algebraic geometry is the profusion of cross-references, and this is one reason for attempting to be self-contained. Similarly, we have attempted to avoid allusions to, or statements without proofs of, related results. This book is in no way meant to be a survey of algebraic geometry, but rather is designed to develop a working facility with specific geometric questions.Our approach to the subject is initially analytic: Chapters 0 and 1 treat the basic techniques and results of complex manifold theory, with some emphasis on results applicable to projective varieties. Beginning in Chapter 2 with the theory of Riemann surfaces and algebraic curves, and continu-ing in Chapters 4 and 6 on algebraic surfaces and the quadric line complex, our treatment becomes increasingly geometric along classicallines. Chapters 3 and 5 continue the analytic approach, progressing to more special topics in complex manifolds.

作者简介

作者：(英国)哈里斯 (英国)格里菲思

书籍目录

第O章　基础知识  1.多复变初步　　柯西公式及应用    多变量    魏尔斯特拉斯定理及其推论    解析簇  2.复流形    复流形    子流形与子簇    De Rham和DoIbeault上同调      复流形上的积分  3.层和上同调    起源：米塔-列夫勒问题    层    层的上同调    De Rham定理    Colbeault定理  4.流形的拓扑    闭链的相交    庞加莱对偶    解析闭链的相交  5.向量丛、联络和曲率    全纯复向量丛    度量、联络和曲率  6.紧致复流形的调和理论    霍奇定理    霍奇定理I的证明——局部理论    霍奇定理II的证明——全局理论    霍奇定理的应用  7.Kahler流形    Kahler条件    霍奇恒等式和霍奇分解    Lefschetz分解第1章　复代数簇　1.除子与线丛    除子    线丛    线丛的陈类　2.消灭定理及推论    小平消灭定理    超平面截面的Lefschetz定理    定理    （1，1）类的Lefschetz定理　3.代数簇    解析簇和代数簇    簇的次数    代数簇的切空间  4.小平嵌入定理        线丛和到投影空间的映射    胀开    小平定理的证明  5.格拉斯曼理论    定义    胞腔分解    Schubert微积分    万有丛    Plucker嵌入第2章　Riemann曲面和代数曲线第3章　深入技巧第4章　曲面第5章　留数第6章　二次线丛索引

编辑推荐

《代数几何原理》由世界图书出版公司出版。

用户评论 (总计25条)

•   代数几何的入门教材
•   听说Yau最推崇做几何分析的学生念Gilbarg和这本入门书!
•   好书就不需要过多评论了吧！！！此书都是有口碑的！！！
•   英文版读着很过瘾
•   内容详细，极有价值！一本不可多得的好书！
  
  是必买的！
•   买的两个商品，从内容描述、物流跟踪管理等方面都与网上承诺完全相符，很满意。以后会继续合作。
•   很不错只是库存似乎不够了，本来想多买几本的...
•   A third general principle was that this volume should be stir-contained.In particular any "hard" result that would be utilized should be fullyproved. A difficulty a student often faces in a subject as diverse as algebraic geometry is the profusion of cross-references, and this is one reason for attempting to be self-contained. Similarly, we have attempted to avoid allusions to, or statements without proofs of, related results. This book is in no way meant to be a survey of algebraic geometry, but rather is designed to develop a working facility with specific geometric questions.Our approach to the subject is initially analytic: Chapters 0 and 1 treat the basic techniques and results of ***plex manifold theory, with some emphasis on results applicable to projective varieties. Beginning in Chapter 2 with the theory of Riemann surfaces and algebraic curves, and continu-ing in Chapters 4 and 6 on algebraic surfaces and the quadric line ***plex, our treatment be***es increasingly geometric along classicallines. Chapters
  and 5 continue the analytic approach, progressing to more special topics in ***plex manifolds.A third general principle was that this volume should be stir-contained.In particular any "hard" result that would be utilized should be fullyproved. A difficulty a student often faces in a subject as diverse as algebraic geometry is the profusion of cross-references, and this is one reason for attempting to be self-contained. Similarly, we have attempted to avoid allusions to, or statements without proofs of, related results. This book is in no way meant to be a survey of algebraic geometry, but rather is designed to develop a working facility with specific geometric questions.Our approach to the subject is initially analytic: Chapters 0 and 1 treat the basic techniques and results of ***plex manifold theory, with some emphasis on results applicable to projective varieties. Beginning in Chapter 2 with the theory of Riemann surfaces and algebraic curves, and continu-ing in Chapters 4 and 6 on algebraic surfaces and the quadric line ***plex, our treatment be***es increasingly geometric along classicallines. Chapters
  and 5 continue the analytic approach, progressing to more special topics in ***plex manifolds.A third general principle was that this volume should be stir-contained.In particular any "hard" result that would be utilized should be fullyproved. A difficulty a student often faces in a subject as diverse as algebraic geometry is the profusion of cross-references, and this is one reason for attempting to be self-contained. Similarly, we have attempted to avoid allusions to, or statements without proofs of, related results. This book is in no way meant to be a survey of algebraic geometry, but rather is designed to develop a working facility with specific geometric questions.Our approach to the subject is initially analytic: Chapters 0 and 1 treat the basic techniques and results of ***plex manifold theory, with some emphasis on resu
•   书的内容很好，喜欢。
•   经典书，不用讲太多
•   牛人的书
•   帮人买的，估计不错
•   还不错，就是比较适合有基础的人看
•   绝对的绝世好书，作者都是精通多个领域的大牛！
•   ofgraduateyear1levelThesessiontitlesareinchinese!thisisfairlyridiculous.theeditorsarecute...Augustin
•   很好的专业书。希望专业书有更低的价格。
•   印刷质量尚可，但纸张有股味道这本书网上找不到好的电子版，所以买本印刷的看看了
•   该专著是代数几何解析方法的经典，我很喜欢。令我惊叹的是amazon难以置信的快捷。上午10点下的单下午4点就已收到。
•   一下买了五本，这个版本的代数几何原理价格便宜，另外还有一本，价格贵的要死，800多元呢
•   建议结合上面那本RH的书一起看，这本书象对要基础一点，可以精读。
•   数学杀人利器。虽然比哈茨霍恩那本简单点，但也够我受的了。
•   书是不错，但被上面的英文坑惨了
•   有买过的给个说明！谢谢！卓越怎么没有在线咨询系统？还有赠书都是垃圾书！唉！
•   为什么“更新产品信息”这一环节里的内容这么少？我觉得有些重要的说明是必不可少的。比如我的上一份订单中，《代数几何原理》这本书的正文是英文，而网页中显示的是中文（所以我只好退了整份订单，重新订购），在“更新产品信息”里也不能提出修改意见。我觉得于版本、年代等尽管也属于关键信息，但相对于正文语种来说，就显得次要了。希望工作人员能在这方面多注意，不要再给顾客带来误导... 阅读更多
•   经典，学习代数几何必备！