A differential-algebraic criterion for obtaining a small Cohen-Macaulay module

Schoutens, Hans

doi:10.1090/proc/15084

A differential-algebraic criterion for obtaining a small Cohen-Macaulay module
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by Hans Schoutens

Proc. Amer. Math. Soc. 148 (2020), 4165-4177

DOI: https://doi.org/10.1090/proc/15084

Published electronically: June 30, 2020

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Abstract:

We show how for a three-dimensional complete local ring in positive characteristic, the existence of an F-invariant, differentiable derivation implies Hochster’s small CM-module conjecture. As an application we show that any three-dimensional pseudo-graded ring in positive characteristic admits a small CM-module.

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