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arXiv · 2604.04449

Stokes structure of wild difference modules

Yota Shamoto
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Abstract

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.

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Yota Shamoto. 2026-04-06. Stokes structure of wild difference modules. https://arxiv.org/abs/2604.04449

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