This book is based on expository 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.
págs. 1-50
Modules and Cohomology over Group Algebras
Srikanth B. Iyengar
págs. 51-86
An Informal Introduction to Multiplier Ideals
Manuel Blickle, Robert Lazarsfeld
págs. 87-114
Lectures on the Geometry of Syzygies
David Eisenbud, Jessica Sidman
págs. 115-152
Commutative Algebra of n Points in the Plane
Mark D. Haiman, Ezra Miller
págs. 153-180
Tight Closure Theory and Characteristic p Methods
Melvin Hochster, Graham J. Leuschke
págs. 181-210
págs. 211-246
págs. 247-254
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