Integral Closure: Rees Algebras, Multiplicities, Algorithms / Edition 1

Integral Closure: Rees Algebras, Multiplicities, Algorithms / Edition 1

by Wolmer Vasconcelos
     
 

ISBN-10: 3642064922

ISBN-13: 9783642064920

Pub. Date: 12/01/2010

Publisher: Springer Berlin Heidelberg

This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may

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Overview

This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

Product Details

ISBN-13:
9783642064920
Publisher:
Springer Berlin Heidelberg
Publication date:
12/01/2010
Series:
Springer Monographs in Mathematics Series
Edition description:
Softcover reprint of hardcover 1st ed. 2005
Pages:
520
Product dimensions:
1.08(w) x 6.14(h) x 9.21(d)

Table of Contents

Numerical Invariants of a Rees Algebra.- Hilbert Functions and Multiplicities.- Depth and Cohomology of Rees Algebras.- Divisors of a Rees Algebra.- Koszul Homology.- Integral Closure of Algebras.- Integral Closure and Normalization of Ideals.- Integral Closure of Modules.- HowTo.

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