Geometry of the space of monodromy data
Dynamical Systems
2023-01-11 v1
Abstract
In a paper published by the Annales de la Facult\'e de Sciences de Toulouse, with Yousuke Ohyama, we defined and studied a space of monodromy data underlying the well known derivation of q-Painlev\'e VI equation from q-isomonodromy conditions by Jimbo and Sakai. In a recent ArXiv preprint, Nalini Joshi and Pieter Roffelsen pursued our work. However, both our article and their preprint are ambiguous on some foundational algebro-geometric matters. We proceed here to provide sound bases.
Keywords
Cite
@article{arxiv.2301.04083,
title = {Geometry of the space of monodromy data},
author = {Jean-Pierre Ramis and Jacques Sauloy},
journal= {arXiv preprint arXiv:2301.04083},
year = {2023}
}