Bounding regularity of $FI^m$-modules

Wee Liang Gan; Khoa Ta

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arXiv · 2407.20428

Bounding regularity of $FI^m$-modules

Wee Liang Gan·Khoa Ta

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Abstract

Let $FI$ be a skeleton of the category of finite sets and injective maps, and $FI^m$ the product of $m$ copies of $FI$. We prove that if an $FI^m$-module is generated in degree $\leqslant d$ and related in degree $\leqslant r$, then its regularity is bounded above by a function of $m$, $d$, and $r$.

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BibTeX RIS

Wee Liang Gan, Khoa Ta. 2024-07-29. Bounding regularity of $FI^m$-modules. https://arxiv.org/abs/2407.20428

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