#51:
Trends in Commutative Algebra
**Up:** MSRI Publications

# MSRI Publications – Volume 51

## Trends in Commutative Algebra

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

### Contents

Front matter (front page, copyright page)

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Table of Contents

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Preface

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Commutative Algebra in the Cohomology of Groups,
by **Dave Benson**, 1-50

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Modules and Cohomology over Group Algebras,
by **Srikanth Iyengar**, 51-86

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An Informal Introduction to Multiplier Ideals,
by **Manuel Blickle** and **Robert Lazarsfeld**, 87-114

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Lectures on the Geometry of Syzygies,
by **David Eisenbud**, with a chapter by **Jessica Sidman**, 115-152

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Commutative Algebra of *n* Points in the Plane,
by **Mark Haiman**, with an appendix by **Ezra Miller**,
153-180

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Tight Closure Theory and Characteristic *p* Methods,
by **Melvin Hochster**, with an appendix by **Graham J. Leuschke**, 181-210

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Monomial Ideals, Binomial Ideals, Polynomial Ideals,
by **Bernard Teissier**, 211-246

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Some Facts About Canonical Subalgebra Bases,
by **Ana Bravo**, 247-254

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