A Formalism of F-modules for Rings with Complete Local Finite F-Representation Type

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Abstract

Abstract We develop a formalism of unit F-modules in the style of Lyubeznik and Emerton-Kisin for rings that have finite F-representation type after localization and completion at every prime ideal. As applications, we show that if R is such a ring then the iterated local cohomology modules H^n₁₈_₁ H^nₒ₈_ₒ (R) have finitely many associated primes, and that all local cohomology modules H^n₈ (R / gR) have closed support when g is a nonzerodivisor on R.

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Eamon Quinlan-Gallego (Mon,) studied this question.

synapsesocial.com/papers/68e713c8b6db64358768c415 https://doi.org/https://doi.org/10.1093/imrn/rnae054

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