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arxiv: 1710.10223 · v2 · pith:X7ZCYVKRnew · submitted 2017-10-27 · 🧮 math.RT · math.KT· math.RA

Bounds on homological invariants of VI-modules

classification 🧮 math.RT math.KTmath.RA
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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