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arXiv · 1903.08317

Castelnuovo-Mumford regularity of representations of certain product categories

Wee Liang Gan·Liping Li
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Abstract

We show in this paper that representations of a finite product of categories satisfying certain combinatorial conditions have finite Castelnuovo-Mumford regularity if and only if they are presented in finite degrees, and hence the category consisting of them is abelian. These results apply to examples such as the categories $\mathrm{FI}^m$ and $\mathrm{FI}_G^m$.

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BibTeXRIS

Wee Liang Gan, Liping Li. 2019-03-20. Castelnuovo-Mumford regularity of representations of certain product categories. https://arxiv.org/abs/1903.08317

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