Splittings for symbolic powers of edge ideals of complete graphs
Commutative Algebra
2023-09-25 v1 Combinatorics
Abstract
In this paper we study the -th symbolic powers of the edge ideals of complete graphs. In particular, we provide a criterion for finding an Eliahou-Kervaire splitting on these ideals, and use the splitting to provide a description for the graded Betti numbers. We also discuss the symbolic powers and graded Betti numbers of edge ideals of parallelizations of finite simple graphs.
Keywords
Cite
@article{arxiv.2309.13017,
title = {Splittings for symbolic powers of edge ideals of complete graphs},
author = {Susan M. Cooper and Sergio Da Silva and Max Gutkin and Tessa Reimer},
journal= {arXiv preprint arXiv:2309.13017},
year = {2023}
}
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16 pages