The Principal Component of the Jets of a Graph

Autor:	Iammarino, Nicholas
Rok vydání:	2022
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	We define the s-order principal component of the jets of a graph and give a description of the primary decomposition of its edge ideal in terms of the minimal vertex covers of the base graph. As an application, we show the s-order principal component of the jets of a cochordal graph is cochordal, and connect this to Froberg's theorem on the linear resolution of edge ideals of cochordal graphs. An appendix is provided describing some computations of jets in the computer algebra system Macaulay2.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.04164 Zobrazit plný text záznamu View this record from Arxiv