Algebraic Groups and Class Fields 代数群和类域（第1版）

基本信息

Format Paperback | 211 pages

Dimensions 155 x 235 x 11.94mm | 349g

Publication date 30 Sep 2012

Publisher Springer-Verlag New York Inc.

Language English

Edition Statement Softcover reprint of the original 1st ed. 1998

ISBN10 1461269938

ISBN13 9781461269939

页面参数仅供参考，具体以实物为准

书籍简介

在代数几何中，代数群(或群簇)是一个代数簇，使得乘法和求逆运算由簇上的正则映射给出。

根据范畴理论，代数群是代数簇范畴中的群对象。

本书是法文版的译本：Groupes algehri ' lues El corps de classes。巴黎：赫尔曼。1975.

In algebraic geometry, an algebraic group (or group variety) is a group that is an algebraic variety, such that the multiplication and inversion operations are given by regular maps on the variety.

In terms of category theory, an algebraic group is a group object in the category of algebraic varieties.

This book is a translation of the French edition: Groupes algehri'lues el corps de classes. Paris: Hermann. 1975.

目录

I Summary of Main Results.- II Algebraic Curves.- III Maps From a Curve to a Commutative Group.- IV Singular Algebraic Curves.- V Generalized Jacobians.- VI Class Field Theory.- VII Group Extension and Cohomology.- Supplementary Bibliography.

作者简介

Jean·Pierre Serre

让·皮埃尔·塞尔（生于1926年9月15日)是一位法国数学家，他在代数拓扑、代数几何和代数数论方面都做出了贡献。他于1954年获得菲尔兹奖，2000年获得沃尔夫奖，2003年获得首届亚伯奖。

Jean·Pierre Serre (French: [sɛʁ]; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.