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arXiv · 2512.24083

Rank three representations of Painlev\'e systems: II. de Rham structure, Fourier--Laplace transformation

Miklos Eper·Szilard Szabo
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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.

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Miklos Eper, Szilard Szabo. 2025-12-30. Rank three representations of Painlev\'e systems: II. de Rham structure, Fourier--Laplace transformation. https://arxiv.org/abs/2512.24083

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