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math.KT2022
Onset of regularity for FI-modules
Cihan Bahran
In terms of local cohomology, we give an explicit range as to when the FI-homology of an FI-module attains its regularity.
math.KT2022★ 1 cited
Polynomial conditions and homology of FI-modules
Cihan Bahran
We identify two recursively defined polynomial conditions for FI-modules in the literature. We characterize these conditions using homological invariants of FI-modules (namely the…
math.RT2022★ 1 cited
Regularity and stable ranges of FI-modules
Cihan Bahran
We give refined bounds for the regularity of FI-modules and the stable ranges of FI-modules for various forms of their stabilization studied in the representation stability literat…