The facet ideals of chessboard complexes

Autor:	Jiang, Chengyao, Zhao, Yakun, Wang, Hong, Zhu, Guangjun
Rok vydání:	2022
Předmět:	Mathematics - Commutative Algebra Primary 13D02 Secondary 13F55 13C15
Druh dokumentu:	Working Paper
Popis:	In this paper we describe the irreducible decomposition of the facet ideal $\F(\Delta_{m,n})$ of the chessboard complex $\Delta_{m,n}$ with $n\geq m$. We also provide some lower bounds for depth and regularity of the facet ideal $\F(\Delta_{m,n})$. When $m\leq 3$, we prove that these lower bounds can be obtained.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.12414 Zobrazit plný text záznamu View this record from Arxiv