Bounds on homological invariants of VI-modules

Liping Li; Wee Liang Gan

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Bounds on homological invariants of VI-modules

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arxiv 1710.10223 v2 pith:X7ZCYVKR submitted 2017-10-27 math.RT math.KTmath.RA

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

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keywords boundsvi-modulesformulashomologicalinvariantscasecastelnuovo-mumfordcharacteristic

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We give bounds for various homological invariants (including Castelnuovo-Mumford regularity, degrees of local cohomology, and injective dimension) of finitely generated VI-modules in the non-describing characteristic case. It turns out that the formulas of these bounds for VI-modules are the same as the formulas of corresponding bounds for FI-modules.

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