Constructing Koszul filtrations: existence and non-existence for G-quadratic algebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Emily Berghofer, Lisa Nicklasson, Peder Thompson, Thomas Westerbäck
Cited by: 0

Abstract

Given a standard graded algebra over a field, we consider the relationship between G-quadraticity and the existence of a Koszul filtration. We show that having a quadratic Gröbner basis implies the existence of a Koszul filtration for algebras defined by generic determinantal ideals and for algebras defined by binomial edge ideals. We also resolve a conjecture of Ene, Herzog, and Hibi by constructing an example where this implication fails. These results are underpinned by algorithms we develop for constructing Koszul filtrations.

Fields of Study & Subjects

Commutative Algebra and Its Applications Polynomial and algebraic computation Advanced Combinatorial Mathematics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Language
EN
Document type
Preprint