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arXiv · 1804.06632

Squarefree divisor complexes of certain numerical semigroup elements

Jackson Autry·Paige Graves·Jessie Loucks·Christopher O'Neill·Vadim Ponomarenko·Samuel Yih
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Abstract

A numerical semigroup $S$ is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element $m \in S$ is a simplicial complex $\Delta_m$ 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.

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Jackson Autry, Paige Graves, Jessie Loucks, Christopher O'Neill, Vadim Ponomarenko, Samuel Yih. 2018-04-18. Squarefree divisor complexes of certain numerical semigroup elements. https://doi.org/10.2140/involve.2021.14.1

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