On squarefree powers of simplicial trees

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Bibliographic Details
Main Authors:	Kamberi, Elshani, Navarra, Francesco, Qureshi, Ayesha Asloob
Format:	Preprint
Published:	2024
Subjects:	Commutative Algebra
Online Access:	Acceder al recurso
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author	Kamberi, Elshani Navarra, Francesco Qureshi, Ayesha Asloob
author_facet	Kamberi, Elshani Navarra, Francesco Qureshi, Ayesha Asloob
contents	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 $t$-path ideals of path graphs.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_13670
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	On squarefree powers of simplicial trees Kamberi, Elshani Navarra, Francesco Qureshi, Ayesha Asloob Commutative Algebra 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 $t$-path ideals of path graphs.
title	On squarefree powers of simplicial trees
topic	Commutative Algebra
url	https://arxiv.org/abs/2406.13670

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