Trends in Commutative Algebra
1st Edition
Published on 7. June 2006
978-0-511-15945-9 (ISBN)
Description
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 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.
Reviews / Votes
Review of the hardback: '... invaluable reading for graduate students and researchers interested in commutative algebra and its various uses.' L'Enseignement MathematiqueMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
2,10 MB
ISBN-13
978-0-511-15945-9 (9780511159459)
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Schweitzer Classification
Other editions
Additional editions
Luchezar L. Avramov | Mark Green | Craig Huneke
Trends in Commutative Algebra
Book
04/2011
Cambridge University Press
€67.80
Shipment within 15-20 days
Luchezar L. Avramov | Mark Green | Craig Huneke
Trends in Commutative Algebra
Book
12/2004
Cambridge University Press
€144.20
Shipment within 15-20 days
Persons
Content
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.
