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Finiteness properties of minimax and coatomic local cohomology modules

โœ Scribed by M. Aghapournahr; L. Melkersson


Publisher
Springer
Year
2010
Tongue
English
Weight
183 KB
Volume
94
Category
Article
ISSN
0003-889X

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Cofiniteness and associated primes of lo
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