This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.
This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.
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.
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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