Stokes structure of wild difference modules
Algebraic Geometry
2026-04-07 v1 Classical Analysis and ODEs
Complex Variables
Abstract
We formulate and prove a Riemann--Hilbert correspondence between two categories: wild difference modules and wild Stokes-filtered -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.
Cite
@article{arxiv.2604.04449,
title = {Stokes structure of wild difference modules},
author = {Yota Shamoto},
journal= {arXiv preprint arXiv:2604.04449},
year = {2026}
}
Comments
27 pages