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Trends in Commutative Algebra

$59.99 (C)

Part of Mathematical Sciences Research Institute Publications

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
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  • Date Published: April 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521168724

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About the Authors
  • 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
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    Reviews & endorsements

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

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    Product details

    • Date Published: April 2011
    • format: Paperback
    • isbn: 9780521168724
    • length: 266 pages
    • dimensions: 234 x 156 x 14 mm
    • weight: 0.38kg
    • availability: Available
  • 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.

  • 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

    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

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