Introduction to commutative algebra and algebraic geometry

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Title:

Author:

Kunz, Ernst, 1933-

ISBN:

9781461459873

Personal Author:

Kunz, Ernst, 1933-

Uniform Title:

Einführung in die kommutative Algebra und algebraische Geometrie. English

Publication Information:

Physical Description:

1 online resource.

Series:

Modern Birkhäuser classics

Modern Birkhäuser classics.

General Note:

"Reprint of the 1985 edition."

Contents:

Algebraic varieties -- Dimension -- Regular and rational functions on algebraic varieties Localization -- 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.

Subject Term:

Commutative algebra.

Geometry, Algebraic.

Electronic Access:

ebrary http://site.ebrary.com/id/10656835
SpringerLink http://dx.doi.org/10.1007/978-1-4614-5987-3
http://swb.eblib.com/patron/FullRecord.aspx?p=1082054

Copies:

Available:*

Library	Material Type	Item Barcode	Shelf Number	Copy	Status
Searching... 1:IIEMSA	1:GEN-BOOK	33168025799814	512.44 A394.I 2013	1	Searching... Unknown

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Summary

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.

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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 and--a closely related problem--with 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.