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arXiv · 2009.10842

On asymptotic socle degrees of local cohomology modules

Wenliang Zhang
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Abstract

Let $R$ be a standard graded algebra over a field $k$ and $I$ be a homogeneous ideal of $R$. We study the question whether there is a constant $c$ such that $\Soc(H^{j}_{\fm}(R/I^t))_{<-ct}=0$ for all $t\geq 1$ and a variation of this question. We also draw a connection between this question and the notion of gauge-boundedness in prime characteristic.

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Wenliang Zhang. 2020-09-22. On asymptotic socle degrees of local cohomology modules. https://arxiv.org/abs/2009.10842

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