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Trends in Commutative Algebra

£111.00

Part of Mathematical Sciences Research Institute Publications

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

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Date Published: February 2005
availability: Available
format: Hardback
isbn: 9780521831956

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About the Authors

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.
- 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: February 2005
- format: Hardback
- isbn: 9780521831956
- length: 266 pages
- dimensions: 234 x 156 x 16 mm
- weight: 0.51kg
- 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.
Look Inside
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