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On Faltings' annihilator theorem

Takesi Kawasaki
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Abstract

In the present article, the author shows that Faltings' annihilator theorem holds for any Noetherian ring $A$ if $A$ is universally catenary; all the formal fibers of all the localizations of $A$ are Cohen-Macaulay; and the Cohen-Macaulay locus of each finitely generated $A$-algebra is open.

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BibTeXRIS

Takesi Kawasaki. 2006-10-10. On Faltings' annihilator theorem. https://arxiv.org/abs/math/0610312

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