Local degrees of FI-modules through spectral sequences

2025/09/28 by Bahran, Cihan
#FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2509.23998

Abstract

We establish bounds on the local degrees of FI-modules (in the sense of Church-Miller-Nagpal-Reinhold [CMNR18]) through a spectral sequence which only depend on the initial page and is independent from how many pages have been flipped.

Citations

• Linear and quadratic ranges in representation stability
• On the degree-wise coherence of FI_G-modules

Related

• Homological Invariants of FI-modules and FI_G-modules
• A long exact sequence for homology of FI-modules
• On the tails of FI-modules
• Depth and the Local Cohomology of FI_G-modules
• Bounding the homology of FI-modules