Publications and Research

Document Type


Publication Date



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.


Preprint version of Schoutens, Hans. "A differential-algebraic criterion for obtaining a small Cohen-Macaulay module." Proceedings of the American Mathematical Society (2020)

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



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.