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- W2950903739 abstract "Let R be a regular local ring of dimension d, 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: (1) dim Mle 3; (2) dim Rle 4; (3) dim M/IM le 2 and M satisfies Serre's condition S_{n-3}; (4) dim M/IMle 3, R is unramified, and M is faithful and satisfies S_{n-3}. We also prove that if dim R/Ige 2 and the punctured spectrum of R/I is disconnected then H^{d-1}_I(R) is not I-cofinite. This generalizes a result due to Huneke and Koh." @default.
- W2950903739 created "2019-06-27" @default.
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- W2950903739 date "2002-09-17" @default.
- W2950903739 modified "2023-09-27" @default.
- W2950903739 title "Cofiniteness and associated primes of local cohomology modules" @default.
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