Bounds on homological invariants of VI-modules
Wee Liang Gan, Liping Li
TL;DR
This paper establishes bounds on homological invariants of finitely generated VI-modules in non-describing characteristic, showing they follow the same formulas as for FI-modules, thus advancing understanding in algebraic representation theory.
Contribution
It provides explicit bounds for homological invariants of VI-modules, extending known results from FI-modules to a broader class in non-describing characteristic.
Findings
Bounds for Castelnuovo-Mumford regularity of VI-modules
Bounds for degrees of local cohomology of VI-modules
Bounds for injective dimension of VI-modules
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology