Trends in Commutative Algebra

Luchezar L. Avramov, Mark C. Green, Craig Huneke, Karen E. Smith, Bernd Sturmfels - Collection Mathematical Sciences Research Institute Publications

254 pages, parution le 13/12/2004

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Résumé

In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many new 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 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.

L'auteur - Mark C. Green

Mark Green is Professor of Mathematics and Director of the Institute for Pure and Applied Mathematics at the University of California, Los Angeles.

L'auteur - Bernd Sturmfels

Bernd Sturmfels received doctoral degrees in 1987 from the University of Washington, Seattle and TU Darmstadt, Germany. After two postdoc years at the IMA in Minneapolis and RISC-Linz in Austria, he taught at Cornell University before joining UC Berkeley in 1995, where he is now Professor of Mathematics and Computer Science. A leading experimentalist among mathematicians, Sturmfels has authored seven books and over 130 research articles in the areas of combinatorics, algebraic geometry, symbolic computation, and their applications, and he has mentored 16 doctoral students.

Sommaire

Preface
Commutative Algebra in the Cohomology of Groups
Modules and Cohomology over Group Algebras
An Informal Introduction to Multiplier Ideals
Lectures on the Geometry of Syzygies
Commutative Algebra of n Points in the Plane
Tight Closure Theory and Characteristic p Methods
Monomial Ideals, Binomial Ideals, Polynomial Ideals
Some Facts About Canonical Subalgebra Bases

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Luchezar L. Avramov, Mark C. Green, Craig Huneke, Karen E. Smith, Bernd Sturmfels
Collection	Mathematical Sciences Research Institute Publications
Parution	13/12/2004
Nb. de pages	254
Format	16 x 24
Couverture	Relié
Poids	511g
Intérieur	Noir et Blanc
EAN13	9780521831956
ISBN13	978-0-521-83195-6