Year: 2026
Type: preprint
Abstract: Let $\mathcal{M}$ be a positroid. We prove that the positroid variety $Π_{\mathcal{M}}$ is toric with respect to some algebraic torus if and only if $\mathcal{M}$ is regular. In that case, $Π_{\mathcal{M}}$ is toric with respect to the standard diagonal torus. Thus, there are no unexpected toric positroid varieties.
Source: arXiv (Cornell University)
Author: McNeill, Avery
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W7224109799