Trends in Commutative Algebra

by Luchezar L. Avramov, Mark Green, Craig Huneke, Karen E. Smith, Bernd Sturmfels

Overview

This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. They focus on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided. Short complementary papers describing work at the research frontier are also included. The unusual scope and format make the book invaluable reading for graduate students and researchers interested in commutative algebra and its various uses.

Product Details

ISBN-13:	9780521831956
Publisher:	Cambridge University Press
Publication date:	12/13/2004
Series:	Mathematical Sciences Research Institute Publications , #51
Pages:	266
Product dimensions:	6.14(w) x 9.21(h) x 0.63(d)

Table of Contents

Preface; 1. Commutative algebra in the cohomology of groups Dave Benson; 2. Modules and cohomology over group algebras Srikanth Iyengar; 3. An informal introduction to multiplier ideals Manuel Blickle and Robert Lazarsfeld; 4. Lectures on the geometry of syzygies David Eisenbud, with a chapter by Jessica Sidman; 5. Commutative algebra of n points in the plane Mark Haiman, with an appendix by Ezra Miller; 6. Tight closure theory and characteristic p methods Melvin Hochster, with an appendix by Graham J. Leuschke; 7. Monomial ideals, binomial ideals, polynomial ideals Bernard Teissier; 8. Some facts about canonical subalgebra bases Ana Bravo.

Editorial Reviews

Review of the hardback: '... invaluable reading for graduate students and researchers interested in commutative algebra and its various uses.' L'Enseignement Mathématique

From the Publisher