An inductive method for $\mathrm{OI}$-modules

Liping Li; Wee Liang Gan

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An inductive method for $\mathrm{OI}$-modules

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arxiv 1909.01261 v2 pith:ONMXDD6R submitted 2019-09-03 math.RT math.ACmath.RA

Wee Liang Gan , Liping Li This is my paper · ORCID

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keywords mathrmmodulesinductivemethodapplicationboundcastelnuovo-mumfordcategory

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abstract

In this paper we introduce an inductive method to study $\mathrm{OI}$-modules presented in finite degrees, where $\mathrm{OI}$ is a skeleton of the category of finitely totally ordered sets and strictly increasing maps. As an application, we obtain an explicit upper bound for the Castelnuovo-Mumford regularity of $\mathrm{OI}$-modules.

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