Squarefree divisor complexes of certain numerical semigroup elements
Commutative Algebra
2021-03-10 v1 Combinatorics
Abstract
A numerical semigroup is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element is a simplicial complex that arises in the study of multigraded Betti numbers. We compute squarefree divisor complexes for certain classes numerical semigroups, and exhibit a new family of simplicial complexes that are occur as the squarefree divisor complex of some numerical semigroup element.
Cite
@article{arxiv.1804.06632,
title = {Squarefree divisor complexes of certain numerical semigroup elements},
author = {Jackson Autry and Paige Graves and Jessie Loucks and Christopher O'Neill and Vadim Ponomarenko and Samuel Yih},
journal= {arXiv preprint arXiv:1804.06632},
year = {2021}
}