Commutative Algebra

by Avramov, L. L.; AMS Special Session on Commutative Algebra

• ISBN13: 9780821832332
• ISBN10: 0821832336
• Format: Paperback
• Copyright: 2003-09-01
• Publisher: Amer Mathematical Society

Summary

This volume contains 21 articles based on invited talks given at two international conferences held in France in 2001. Most of the papers are devoted to various problems of commutative algebra and their relation to properties of algebraic varieties. The book is suitable for graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

Table of Contents

Introduction	vii
List of talks and references to publications	ix
Linearization of local cohomology modules
JOSEP ALVAREZ MONTANER AND SANTIAGO ZARZUELA	1	(12)
Multiplicity-free subvarieties of flag varieties
MICHEL BRION	13	(12)
Morita contexts, idempotents, and Hochschild cohomology-with-applications to invariant rings-
RAGNAR-OLAF BUCHWEITZ	25	(30)
Some applications of two dimensional complete ideals
ANTONIO CAMPILLO AND SANTIAGO ENCINAS	55	(20)
Generically finite morphisms and simultaneous resolution of singularities
STEVEN DALE CUTKOSKY	75	(26)
Two results on the number of generators
JUAN ELIAS	101	(10)
When is a binomial ideal equal to a lattice ideal up to radical?
KAZUFUMI ETO	111	(8)
Depth and amplitude for unbounded complexes
HANS-BJØRN FOXBY AND SRIFÇANTH IYENGAR	119	(20)
On the ideal of minors of matrices of linear forms
ANNA GUERRIERI AND IRENA SWANSON	139	(14)
Surjectivity of multiplication and F-regularity of multigraded rings
MITSUYASU HASHIMOTO	153	(18)
On the Ext-modules of ideals of Borel type
JURGEN HERZOG, DORIN POPESCU, AND MARIUS VLADOIU	171	(16)
Sums of linked tepli ideals
MARK R. JOHNSON	187	(6)
Cartan involutiveness = Mumford regularity
BERNARD MALGRANGE	193	(14)
The Frobenius endomorphism and homological dimensions
CLAUDIA MILLER	207	(28)
Characterization of some projective subschemel by locally free resolutions
UWE NAGEL	235	(32)
On unique factorization in semigroups of complete ideals
OLIVIER PILTANT	267	(28)
Modules with strange homological properties and Chebychev polynomials
JAN-ERIK ROOS	295	(18)
Notes on the behavior of the Ratlift-Rush filtration
MARIA EVELINA ROSSI AND IRENA SWANSON	313	(16)
On symbolic powers of prime ideals
SEAN SATHER-WAGSTAFF	329	(14)
Multiplicities and the number of generators of Cohen-Macaulay ideals
WOLMEK V. VASCONCELOS	343	(10)
Chains of integrally closed ideals
KEI-ICHT WATANABE	353