English

Rank three representations of Painlev\'e systems: I. Wild character varieties

Algebraic Geometry 2025-06-03 v2

Abstract

We give explicit cubic equations for the wild character varieties corresponding to the rank 3 representations of Painlev\'e equations, and compare them to the ones of their classical rank 2 representations.

Keywords

Cite

@article{arxiv.2505.21186,
  title  = {Rank three representations of Painlev\'e systems: I. Wild character varieties},
  author = {Miklos Eper and Szilard Szabo},
  journal= {arXiv preprint arXiv:2505.21186},
  year   = {2025}
}

Comments

32 pages, 1 figure, 2 tables. v2: minor changes, references added, introduction expanded