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On the finiteness of Bass numbers of local cohomology modules. (English) Zbl 0860.13011
Summary: We show that, if $$I$$ is an ideal of dimension 1 of an analytically irreducible local ring, then the Bass numbers of local cohomology modules with support in $$V(I)$$ are finite.

MSC:
 13D45 Local cohomology and commutative rings 13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) 14B15 Local cohomology and algebraic geometry 18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
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References:
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