Rank three representations of Painlevé systems: II. de Rham structure, Fourier--Laplace transformation
arXiv:2512.24083
Abstract
We use formal microlocalization to describe the Fourier--Laplace transformation between rank 3 and rank 2 D-module representations of Painleve systems. We conclude the existence of biregular morphism between the corresponding de Rham complex structures.
28 pages