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An example of an infinite set of associated primes of a local cohomology module

โœ Scribed by Mordechai Katzman

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
67 KB
Volume
252
Category
Article
ISSN
0021-8693

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Cofiniteness and associated primes of lo
Cofiniteness and associated primes of local cohomology modules
โœ Thomas Marley; Janet C. Vassilev ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 133 KB

Let R be a d-dimensional regular local ring, I an ideal of R, and M a finitely generated R-module of dimension n. We prove that the set of associated primes of Ext i R (R/I, H j I (M)) is finite for all i and j in the following cases: (a) dim M 3; (b) dim R 4; (c) dim M/I M 2 and M satisfies Serre's