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arXiv · 2308.11760

The Jacobian of a Sixth-Root-of-Unity Matroid

Matthew Baker·Changxin Ding·Xu Zhuang
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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.

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Matthew Baker, Changxin Ding, Xu Zhuang. 2023-09-05. The Jacobian of a Sixth-Root-of-Unity Matroid. https://arxiv.org/abs/2308.11760

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