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arXiv · 2301.04083

Geometry of the space of monodromy data

Jean-Pierre Ramis·Jacques Sauloy
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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.

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Jean-Pierre Ramis, Jacques Sauloy. 2023-01-10. Geometry of the space of monodromy data. https://arxiv.org/abs/2301.04083

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