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Introduction to Commutative Algebra and Algebraic Geometry

Introduction to Commutative Algebra and Algebraic Geometry
Catalogue Information
Field name Details
Dewey Class 516.35 (DDC 23)
Title Introduction to Commutative Algebra and Algebraic Geometry ([EBook]) / by Ernst Kunz
Author Kunz, Ernst. , 1933-
Other name(s) SpringerLink (Online service)
Edition statement Reprint of the 1985 edition
Publication New York, NY : Birkhäuser
, 2013.
Physical Details XIII, 238 pages : online resource.
Series Modern Birkhäuser classics
ISBN 9781461459873
Summary Note Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.   Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces andâa closely related problemâwith the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.:
Contents note Foreword -- Preface -- Preface to the English Edition -- Terminology.- Algebraic varieties -- Dimension -- Regular and rational functions on algebraic varieties -- The local-global principle in commutative algebra -- On the number of equations needed to describe an algebraic variety.- Regular and singular points of algebraic varieties -- Projective Resolutions.- Bibliography -- List of Symbols -- Index. .
System details note Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA users)
Internet Site http://dx.doi.org/10.1007/978-1-4614-5987-3
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