Rank three representations of Painlevé systems: II. de Rham structure, Fourier--Laplace transformation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909978640515072 |
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| author | Eper, Miklos Szabo, Szilard |
| author_facet | Eper, Miklos Szabo, Szilard |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_24083 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rank three representations of Painlevé systems: II. de Rham structure, Fourier--Laplace transformation Eper, Miklos Szabo, Szilard Algebraic Geometry 14F10, 44A10, 37J38 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. |
| title | Rank three representations of Painlevé systems: II. de Rham structure, Fourier--Laplace transformation |
| topic | Algebraic Geometry 14F10, 44A10, 37J38 |
| url | https://arxiv.org/abs/2512.24083 |