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Mathematical Sciences Research Institute Publications : Trends in Commutative Algebra Series Number 51 - Luchezar L. Avramov

Mathematical Sciences Research Institute Publications

Trends in Commutative Algebra Series Number 51

By: Luchezar L. Avramov (Editor), Mark Green (Editor), Craig Huneke (Editor), Karen E. Smith (Editor), Bernd Sturmfels (Editor)


Published: 14th April 2011
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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 2005 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.

Review of the hardback: '... invaluable reading for graduate students and researchers interested in commutative algebra and its various uses.' L'Enseignement Mathematique

Prefacep. ix
Commutative Algebra in the Cohomology of Groupsp. 1
Modules and Cohomology over Group Algebrasp. 51
An Informal Introduction to Multiplier Idealsp. 87
Lectures on the Geometry of Syzygiesp. 115
Commutative Algebra of n Points in the Planep. 153
Tight Closure Theory and Characteristic p Methodsp. 181
Monomial Ideals, Binomial Ideals, Polynomial Idealsp. 211
Some Facts About Canonical Subalgebra Basesp. 247
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780521168724
ISBN-10: 0521168724
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 266
Published: 14th April 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 1.4
Weight (kg): 0.38