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arXiv · 1911.05335

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

Hans Schoutens
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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 MCM conjecture. As an application we show that any three-dimensional pseudo-graded ring in positive characteristic satisfies Hochster's small MCM conjecture.

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Hans Schoutens. 2019-11-13. A differential-algebraic criterion for obtaining a small maximal Cohen-Macaulay module. https://arxiv.org/abs/1911.05335

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