English

Stokes filtered sheaves and differential-difference modules

Algebraic Geometry 2025-01-20 v2 Complex Variables

Abstract

We introduce the notion of Stokes filtered quasi-local systems. It is proved that the category of Stokes filtered quasi-local systems is abelian. We also give a geometric way to construct Stokes filtered quasi-local systems, which describe the asymptotic behavior of certain classes of solutions to some differential-difference modules.

Keywords

Cite

@article{arxiv.2007.10557,
  title  = {Stokes filtered sheaves and differential-difference modules},
  author = {Yota Shamoto},
  journal= {arXiv preprint arXiv:2007.10557},
  year   = {2025}
}

Comments

56 pages, some errors and typos are fixed

R2 v1 2026-06-23T17:16:06.606Z