On squarefree powers of simplicial trees
Commutative Algebra
2026-01-26 v3
Abstract
In this article, we study the squarefree powers of facet ideals associated with simplicial trees. Specifically, we examine the linearity of their minimal free resolution and their regularity. Additionally, we investigate when the first syzygy module of squarefree powers of a simplicial tree is generated by linear relations. Finally, we provide a combinatorial formula for the regularity of the squarefree powers of -path ideals of path graphs.
Keywords
Cite
@article{arxiv.2406.13670,
title = {On squarefree powers of simplicial trees},
author = {Elshani Kamberi and Francesco Navarra and Ayesha Asloob Qureshi},
journal= {arXiv preprint arXiv:2406.13670},
year = {2026}
}
Comments
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