Bounds on homological invariants of VI-modules

2017/10/27 by Wee Liang Gan, Liping Li, Gan, Wee Liang +1
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1710.10223

openalex publication_date 2017/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A long exact sequence for homology of FI-modules

Related

• Upper bounds of homological invariants of FI_G-modules
• Bounds for the Castelnuovo-Mumford regularity of modules
• Castelnuovo-Mumford regularity of canonical and deficiency modules
• VI modules in non-describing characteristic, Part II
• Homological Invariants of FI-modules and FI_G-modules