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Trends in Commutative Algebra

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Trends in Commutative Algebra

Trends in Commutative Algebra

Series:
Editors:
Luchezar L. Avramov, University of Nebraska, Lincoln
Mark Green, University of California, Los Angeles
Craig Huneke, University of Kansas
Karen E. Smith, University of Michigan, Ann Arbor
Bernd Sturmfels, University of California, Berkeley
Dave Benson, Srikanth Iyengar, Manuel Blickle, Robert Lazarsfeld, David Eisenbud, Jessica Sidman, Mark Haiman, Ezra Miller, Melvin Hochster, Graham J. Leuschke, Bernard Teissier, Ana Bravo
Published:
December 2004
Availability:
Available
Format:
Hardback
ISBN:
9780521831956

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    Description

    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.

    • Top-notch contributors
    • Broad scope of lectures
    • Many interesting open questions and fresh directions presented in the book

    Reviews & endorsements

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

    Product details

    • Published: December 2004
    • Format: Hardback
    • ISBN: 9780521831956
    • Length: 266 pages
    • Dimensions: 240 × 160 × 20 mm
    • Weight: 0.509kg
    • Availability: Available

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    Contents

    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.

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    About the authors

    Contributors

    Dave Benson, Srikanth Iyengar, Manuel Blickle, Robert Lazarsfeld, David Eisenbud, Jessica Sidman, Mark Haiman, Ezra Miller, Melvin Hochster, Graham J. Leuschke, Bernard Teissier, Ana Bravo

    Editors

    Luchezar L. Avramov , University of Nebraska, Lincoln

    Mark Green , University of California, Los Angeles

    Craig Huneke , University of Kansas

    Karen E. Smith , University of Michigan, Ann Arbor

    Bernd Sturmfels , University of California, Berkeley

    Series editor Cam Learning use ONLY

    Mathematical Sciences Research Institute

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