Regularity of FI-modules and local cohomology

Abstract

We resolve a conjecture of Li and Ramos that relates the regularity of an FI-module to its local cohomology groups. This is an analogue of the familiar relationship between regularity and local cohomology in commutative algebra.

10 pages; v2: corrected statement of main result

Cited by in corpus (7)

• $\mathrm{VI}$ modules in non-describing characteristic, Part I
• Regularity bounds for twisted commutative algebras
• GL-algebras in positive characteristic I: the exterior algebra
• Regularity and stable ranges of FI-modules
• Polynomial conditions and homology of FI-modules
• Onset of regularity for FI-modules
• A note on projective dimension over twisted commutative algebras