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Bounds on homological invariants of VI-modules

arXiv:1710.10223

Abstract

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.

Following suggestions of the referee, a few changes were adopted to simplify arguments and improve bounds