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math.AC2017
Ext and local cohomology modules of face rings of simplicial posets
Connor Sawaske
There are a large number of theorems detailing the homological properties of the Stanley--Reisner ring of a simplicial complex. Here we attempt to generalize some of these results…
math.AC2017
Stanley-Reisner rings of simplicial complexes with a free action by an abelian group
Connor Sawaske
We consider simplicial complexes admitting a free action by an abelian group. Specifically, we establish a refinement of the classic result of Hochster describing the local cohomol…
math.AC2017★ 1 cited
Almost Buchsbaumness of some rings arising from complexes with isolated singularities
Connor Sawaske
We study properties of the Stanley-Reisner rings of simplicial complexes with isolated singularities modulo two generic linear forms. Miller, Novik, and Swartz proved that if a com…