On Faltings’ annihilator theorem

Kawasaki, Takesi

doi:10.1090/S0002-9939-07-09128-9

On Faltings’ annihilator theorem
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by Takesi Kawasaki

Proc. Amer. Math. Soc. 136 (2008), 1205-1211

DOI: https://doi.org/10.1090/S0002-9939-07-09128-9

Published electronically: November 23, 2007

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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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