Open problems on relations of numerical semigroups
Combinatorics
2026-05-27 v2 Commutative Algebra
Abstract
We collect some open problems about minimal presentations of numerical semigroups and, more generally, about defining ideals and free resolutions of their semigroup rings and associated graded rings. We emphasize both long-standing problems and more recent questions and developments.
Cite
@article{arxiv.2406.00790,
title = {Open problems on relations of numerical semigroups},
author = {Alessio Moscariello and Alessio Sammartano},
journal= {arXiv preprint arXiv:2406.00790},
year = {2026}
}
Comments
The formulation of Problem 6 was incorrect