Stokes structure of wild difference modules
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914448119169024 |
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| author | Shamoto, Yota |
| author_facet | Shamoto, Yota |
| contents | We formulate and prove a Riemann--Hilbert correspondence between two categories: wild difference modules and wild Stokes-filtered $\mathscr{A}_{\rm{per}}$-modules. This correspondence is motivated by the Riemann--Hilbert correspondence for germs of meromorphic connections in one variable due to Deligne--Malgrange. It also generalizes the Riemann--Hilbert correspondence for mild difference modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04449 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stokes structure of wild difference modules Shamoto, Yota Algebraic Geometry Classical Analysis and ODEs Complex Variables We formulate and prove a Riemann--Hilbert correspondence between two categories: wild difference modules and wild Stokes-filtered $\mathscr{A}_{\rm{per}}$-modules. This correspondence is motivated by the Riemann--Hilbert correspondence for germs of meromorphic connections in one variable due to Deligne--Malgrange. It also generalizes the Riemann--Hilbert correspondence for mild difference modules. |
| title | Stokes structure of wild difference modules |
| topic | Algebraic Geometry Classical Analysis and ODEs Complex Variables |
| url | https://arxiv.org/abs/2604.04449 |