Title: Homological Questions in Local Algebra (London Mathematical Society Lecture Note Series, Series Number 145) (Volume 0)
Publisher: Cambridge University Press
Publication Date: 1990
Language: English
ISBN 10: 0521315263
ISBN 13: 9780521315265
Binding: Soft cover
Condition: New

About this title

Synopsis

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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