arXiv subjects

Olivia Strahan

Publications and source records attributed to Olivia Strahan.

2 recordsLinked to original sources

arXiv2026

Stanley-Reisner Theory in Mixed Characteristic

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.

math.AC↗

arXiv2024

Content and Q-sequences in Mixed Characteristic Local Rings

It is proved that a system of parameters is always a Q-sequence for several classes of mixed characteristic rings: rings in which the characteristic of the residue field is a nilpotent element, a mixed characteristic analogue of Stanley-Reisner rings, and a mixed characteristic analogue of semigroup rings and toric face rings.

math.AC↗