基本信息出版社:世界图书出版公司
页码:496 页
出版日期:1999年11月
ISBN:7506200821
条形码:9787506200820
版本:第1版
装帧:平装
开本:24开
内容简介 This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology. The main objects of study are algebraic varieties in an affine or projective space over an algebraically closed field; these are introduced in Chapter I, to establish a number of basic concepts and examples. Then the methods of schemes and cohomology are developed in Chapters II and III, with emphasis on applications rather than excessive generality. The last two chapters of the book (IV and V) use these methods to study topics in the classical theory of algebraic curves and surfaces.
本书为英文版。
编辑推荐 This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology. The main objects of study are algebraic varieties in an affine or projective space over an algebraically closed field; these are introduced in Chapter I, to establish a number of basic concepts and examples. Then the methods of schemes and cohomology are developed in Chapters II and III, with emphasis on applications rather than excessive generality. The last two chapters of the book (IV and V) use these methods to study topics in the classical theory of algebraic curves and surfaces.
目录
Introduction
CHAPTER I Varieties
1 Affine Varieties
2 Projective Varieties
3 Morphisms
4 Rational Maps
……