Stokes structure of mild difference modules
arXiv:2212.10753 · doi:10.24033/bsmf.2899
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.
24pages, minor revision