Rank three representations of Painlev\'e systems: II. de Rham structure, Fourier--Laplace transformation
Algebraic Geometry
2026-01-01 v1
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.
Keywords
Cite
@article{arxiv.2512.24083,
title = {Rank three representations of Painlev\'e systems: II. de Rham structure, Fourier--Laplace transformation},
author = {Miklos Eper and Szilard Szabo},
journal= {arXiv preprint arXiv:2512.24083},
year = {2026}
}
Comments
28 pages