Homological questions in local algebra /
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...
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| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
1990.
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| Series: | London Mathematical Society lecture note series ;
145. |
| Subjects: | |
| Online Access: | CONNECT CONNECT |
| Summary: | 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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| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Physical Description: | 1 online resource (xiii, 308 pages) : digital, PDF file(s). |
| ISBN: | 9780511629242 (ebook) |
