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arXiv · 1609.05366

Finiteness of Associated Primes of Local Cohomology Modules Over Stanley-Reisner Rings

Roberto Barrera·Jeffrey Madsen·Ashley K. Wheeler
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Abstract

Local cohomology modules, even over a Noetherian ring $R$, are typically unwieldly. As such, it is of interest whether or not they have finitely many associated primes. We prove the affirmative in the case where $R$ is a Stanley-Reisner ring over a field, whose associated simplicial complex is a $T$-space.

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Roberto Barrera, Jeffrey Madsen, Ashley K. Wheeler. 2016-09-17. Finiteness of Associated Primes of Local Cohomology Modules Over Stanley-Reisner Rings. https://arxiv.org/abs/1609.05366

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