Castelnuovo-Mumford regularity of associated graded modules of k-Buchsbaum modules

TL;DR

This paper establishes bounds on the Castelnuovo-Mumford regularity of associated graded modules for k-Buchsbaum modules, linking it to the parameter k and other invariants of the modules.

Contribution

It provides new bounds on regularity for associated graded modules of k-Buchsbaum modules, advancing understanding of their algebraic properties.

Findings

Bounds depend on k and module invariants

Regularity estimates are explicitly formulated

Results apply to a broad class of modules

Abstract

Bounds on the Castelnuovo-Mumford regularity of the associated graded modules of k-Buchsbaum modules M are given in terms of k and some other invariants of M.