Onset of regularity for FI-modules
Cihan Bahran
TL;DR
This paper uses local cohomology to explicitly determine when the FI-homology of an FI-module reaches its regularity, providing precise bounds for this transition.
Contribution
It offers a new explicit range for the regularity onset of FI-homology using local cohomology techniques.
Findings
Provided explicit bounds for FI-homology regularity onset.
Connected local cohomology with FI-module properties.
Enhanced understanding of FI-module homological behavior.
Abstract
In terms of local cohomology, we give an explicit range as to when the FI-homology of an FI-module attains its regularity.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology