A differential-algebraic criterion for obtaining a small maximal Cohen-Macaulay module
Commutative Algebra
2019-11-14 v1
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.
Cite
@article{arxiv.1911.05335,
title = {A differential-algebraic criterion for obtaining a small maximal Cohen-Macaulay module},
author = {Hans Schoutens},
journal= {arXiv preprint arXiv:1911.05335},
year = {2019}
}