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arXiv · 2609.38947

Stanley-Reisner Theory in Mixed Characteristic

Mel Hochster·Olivia Strahan
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Abstract

We discuss a class of mixed characteristic rings defined analogously to Stanley-Reisner rings by replacing one variable with a uniformizing parameter for a discrete valuation ring. We adapt Hochster's formula for Tor and Ext modules, Hochster's formula for local cohomology, and Terai's criterion for Serre conditions to this new setting; one of the tools needed is cellular sheaf cohomology, for which we give a brief treatment.

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Mel Hochster, Olivia Strahan. 2026-10-03. Stanley-Reisner Theory in Mixed Characteristic. https://arxiv.org/abs/2609.38947

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