The Jacobian of a Sixth-Root-of-Unity Matroid
Combinatorics
2023-09-06 v2
Abstract
The Jacobian group (also called the sandpile group, Picard group, or critical group) of a graph or, more generally, of a regular matroid has been well studied. Sixth-root-of-unity matroids, also called complex unimodular matroids, are generalizations of regular matroids. This paper provides a definition, and establishes some basic properties, of the Jacobian group of a sixth-root-of-unity matroid.
Keywords
Cite
@article{arxiv.2308.11760,
title = {The Jacobian of a Sixth-Root-of-Unity Matroid},
author = {Matthew Baker and Changxin Ding and Xu Zhuang},
journal= {arXiv preprint arXiv:2308.11760},
year = {2023}
}