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.
Author(s): Luchezar L. Avramov, Mark Green, Craig Huneke, Karen E. Smith, Bernd Sturmfels
Series: Mathematical Sciences Research Institute Publications, 51
Publisher: Cambridge University Press
Year: 2004
Language: English
Commentary: add bookmarks
Pages: 266
City: Cambridge
Contents
Preface
Commutative Algebra in the Cohomology of Groups, DAVE BENSON
References
[Benson 1993]
[Bousfield 1979]
[Duot 1981]
[Hall and Senior 1964]
[Rickard 1997]
Modules and Cohomology over Group Algebras: One Commutative Algebraist's Perspective, SRIKANTH IYENGAR
References
[Benson 1999]
[Leuschke and Wiegand 2004]
An Informal Introduction to Multiplier Ideals, MANUEL BLICKLE AND ROBERT LAZARSFELD
References
[Ein et al. 2001]
[Libgober 1983]
Lectures on the Geometry of Syzygies, DAVID EISENBUD WITH A CHAPTER BY JESSICA SIDMAN
References
[Carlsson 1982]
[Eisenbud et al. 2003a]
[Kwak 1998]
Commutative Algebra of n Points in the Plane, MARK HAIMAN WITH AN APPENDIX BY EZRA MILLER
References
[Iarrobino 1972]
Tight Closure Theory and Characteristic p Methods, MELVIN HOCHSTER WITH AN APPENDIX BY GRAHAM J. LEUSCHKE
References
[Hara and Yoshida 2003]
[Hochster and Huneke 1994b]
[Singh 1998]
Monomial Ideals, Binomial Ideals, Polynomial Ideals, BERNARD TEISSIER
References
[Gerstenhaber 1964]
[Northcott and Rees 1954]
Some Facts About Canonical Subalgebra Bases, ANA BRAVO
References
[Goldin and Teissier 2000]
