Stokes structure of mild difference modules
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866908974555594752 |
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| author | Shamoto, Yota |
| author_facet | Shamoto, Yota |
| contents | We introduce a category of filtered sheaves on a circle to describe the Stokes phenomenon of linear difference equations with mild singularity. The main result is a mild difference analog of the Riemann-Hilbert correspondence for germs of meromorphic connections in one complex variable by Deligne-Malgrange. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10753 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stokes structure of mild difference modules Shamoto, Yota Algebraic Geometry Complex Variables We introduce a category of filtered sheaves on a circle to describe the Stokes phenomenon of linear difference equations with mild singularity. The main result is a mild difference analog of the Riemann-Hilbert correspondence for germs of meromorphic connections in one complex variable by Deligne-Malgrange. |
| title | Stokes structure of mild difference modules |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2212.10753 |