Trends in Commutative Algebra

Zusammenfassung This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. These focus on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics.

Klappentext
Describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics.

Inhalt
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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