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

Authors

Hans Schoutens, CUNY New York City College of TechnologyFollow

Document Type

Article

Publication Date

6-30-2020

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.

Comments

Preprint version of Schoutens, Hans. "A differential-algebraic criterion for obtaining a small Cohen-Macaulay module." Proceedings of the American Mathematical Society (2020) https://doi.org/10.1090/proc/15084

This version is licensed under a Creative Commons CC-BY-NC-ND license.