Description 
1 online resource (x, 254 pages) : illustrations 
Series 
Mathematical Sciences Research Institute publications ; 51 

Mathematical Sciences Research Institute publications ; 51

Contents 
Commutative Algebra in the Cohomology of Groups / Dave Benson  Modules and Cohomology over Group Algebras / Srikanth Iyengar  An Informal Introduction to Multiplier Ideals / Manuel Blickle and Robert Lazarsfeld  Lectures on the Geometry of Syzygies / David Eisenbud, with a Jessica Sidman  Commutative Algebra of n Points in the Plane / Mark Haiman, with an appendix by Ezra Miller  Tight Closure Theory and Characteristicp Methods / Melvin Hochster, with an appendix by Graham J. Leuschke  Monomial Ideals, Binomial Ideals, Polynomial Ideals / Bernard Teissier  Canonical Subalgebra Bases / Ana Bravo 
Summary 
In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help session, describing the interaction of commutative algebra with other areas of mathematics for a broad audience of graduate students and researchers. This book is based on those lectures, together with papers from contributing researchers. David Benson and Srikanth Iyengar present an introduction to the uses and concepts of commutative algebra in the cohomology of groups. Mark Haiman considers the commutative algebra of n points in the plane. Ezra Miller presents an introduction to the Hilbert scheme of points to complement Professor Haiman's paper. Further contributors include David Eisenbud and Jessica Sidman; Melvin Hochster; Graham Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and Ana Bravo 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Algebra.


Commutative algebra.

Form 
Electronic book

Author 
Avramov, L. L. (Luchezar L.), 1948

ISBN 
0511159455 

0511160046 

0511161484 (electronic bk.) 

0511191243 (electronic bk.) 

0511756380 (ebook) 

6610458677 

9780511159459 

0521831954 

9780511160042 

9780511161483 (electronic bk.) 

9780511191244 (electronic bk.) 

9780511756382 (ebook) 

9780521831956 

9786610458677 
