A hypergraph characterization of nearly complete intersections

Autor:	Bondi, Chiara, Gibbons, Courtney R., Ke, Yuye, Martin, Spencer, Pothagoni, Shrunal, Stelzer, Andrew
Rok vydání:	2021
Předmět:	Mathematics - Commutative Algebra 13C05 13C13 13C40 13D02 13A70
Zdroj:	Women in Commutative Algebra: Proceedings of the 2019 WICA Workshop (pp. 95-110)
Druh dokumentu:	Working Paper
DOI:	10.1007/978-3-030-91986-3
Popis:	Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller then characterized nearly complete intersections using the theory of edge ideals (arXiv:2101.07901). We extend their work to fully characterize nearly complete intersections of arbitrary generating degrees and use this characterization to compute minimal free resolutions of nearly complete intersections from their degree 2 part. Comment: This work was initiated as part of the virtual COURAGE REU in Summer 2020, supported by Clemson University's School of Mathematical and Statistical Sciences. Corresponding Author: Courtney R. Gibbons (Hamilton College). 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.08401 Zobrazit plný text záznamu View this record from Arxiv