Stokes structure of mild difference modules
Algebraic Geometry
2026-04-21 v2 Complex Variables
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.
Cite
@article{arxiv.2212.10753,
title = {Stokes structure of mild difference modules},
author = {Yota Shamoto},
journal= {arXiv preprint arXiv:2212.10753},
year = {2026}
}
Comments
24pages, minor revision