Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects

by Corso; Alberto

• ISBN13: 9780824723354
• ISBN10: 082472335X
• Format: Nonspecific Binding
• Copyright: 2005-08-15
• Publisher: CRC Press

Summary

Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles presented during two conferences held in Spain and Portugal in June, 2003. It encompasses a variety of topics, including blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, multiplicities, polarization, and reductions of ideals. This comprehensive volume will stimulate further research in the field.

Table of Contents

Dedication
Preface
Contents
Participants
List of Sevilla's Talks
List of Lisbon's Talks
A theorem of Eakin and Sathaye and Green's hyperplane restriction theorem	1	(6)
Giulio Caviglia
Liaison of varieties of small dimension and deficiency modules	7	(14)
Marc Chardin
Regularity jumps for powers of ideals	21	(12)
Aldo Conca
Integral closure of ideals and annihilators of homology	33	(16)
Alberto Corso
Craig Huneke
Daniel Katz
Wolmer V. Vasconcelos
Poincare series of surface singularities	49	(10)
Steven Dale Cutkosky
Multi-graded Hilbert coefficients	59	(10)
Clare D'Cruz
Anna Guerrieri
Torsion freeness and normality of blowup rings of monomial ideals	69	(16)
Cesar A. Escobar
Rafael H. Villarreal
Yuji Yoshino
Monomial ideals via square-free monomial ideals	85	(30)
Sara Faridi
When does the equality I2 = QI hold true in Buchsbaum rings?	115	(26)
Shiro Goto
Hideto Sakurai
Integral closures of ideals in completions of regular local domains	141	(10)
William Heinzer
Christel Rotthaus
Sylvia Wiegand
The components of a variety of matrices with square zero and submaximal rank	151	(14)
Dikran Karagueuzian
Bob Oliver
Joana Ventura
The support of top graded local cohomology modules	165	(10)
Mordechai Katzman
An approach to the uniform Artin-Rees theorems from the notion of relation type	175	(18)
Francesc Planas-Vilanova
Castelnuovo-Mumford regularity and finiteness of Hilbert functions	193	(18)
Maria Evelina Rossi
Ngo Viet Trung
Giuseppe Valla
Differential idealizers and algebraic free divisors	211	(16)
Aron Simis
Gorenstein rings call the tune	227	(12)
Anne-Marie Simon
Jan R. Strooker
On free integral extensions generated by one element	239	(20)
Irena Swanson
Orlando Villamayor
Degeneration and G-dimension of modules	259
Yuji Yoshino