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There are no unexpected toric positroid varieties

  • Avery McNeill
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Abstract

Let ℳ be a positroid. We prove that the positroid variety Πℳ is toric with respect to some algebraic torus if and only if ℳ is regular. In that case, Πℳ is toric with respect to the standard diagonal torus. Thus, there are no unexpected toric positroid varieties.

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Cite

BibTeXRIS
BibTeX
@misc{mcneill2026there,
  title = {{There are no unexpected toric positroid varieties}},
  author = {Avery McNeill},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35914},
  eprint = {2610.35914},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35914},
}
RIS
TY  - UNPB
TI  - There are no unexpected toric positroid varieties
AU  - Avery McNeill
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.35914
UR  - https://arxiv.org/abs/2610.35914
AB  - Let ℳ be a positroid. We prove that the positroid variety Π_ℳ is toric with respect to some algebraic torus if and only if ℳ is regular. In that case, Π_ℳ is toric with respect to the standard diagonal torus. Thus, there are no unexpected toric positroid varieties.
ER  -