3 papers
math.AC2026
Macaulay Constants and Vanishing of Cohomology
Uwe Nagel
Dubé introduced cone decompositions and their Macaulay constants and used them to obtain an upper bound on the degrees of the generators in a Gröbner basis of an ideal. Liang exten…
math.AC2025
Equivariant Free Resolutions of Sequences of Symmetric Module
Michael Morrow, Uwe Nagel
Given a sequence of related modules over a sequence of related Noetherian polynomial rings, where each is a representation of the symmetric group on letters, one ma…
math.AC2024
The Weak Lefschetz property and unimodality of Hilbert functions of random monomial algebras
Uwe Nagel, Sonja Petrović
In this work, we investigate the presence of the weak Lefschetz property (WLP) and Hilbert functions for various types of random standard graded Artinian algebras. If an algebra ha…