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arXiv · 2212.10753

Stokes structure of mild difference modules

Yota Shamoto
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Abstract

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.

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Yota Shamoto. 2023-01-30. Stokes structure of mild difference modules. https://doi.org/10.24033/bsmf.2899

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