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LMS: 145 Homology in Local Algebra
Author(s): Jan R. Strooker (Author)
- Publisher: Cambridge University Press
- Publication Date: 21 Aug. 2008
- Edition: Illustrated
- Language: English
- Print length: 324 pages
- ISBN-10: 0521315263
- ISBN-13: 9780521315265
Book Description
This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster’s ‘Big Cohen-Macaulay modules’, though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster’s construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be ‘lifted’ from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.
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Book Description
This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum.
