The derived moduli of Stokes data
Algebraic Geometry
2025-04-09 v1
Abstract
The goal of this paper is to show that Stokes data coming from flat bundles form a locally geometric derived stack locally of finite presentation. This generalizes existing geometricity results on Stokes data in four different directions: our result applies in any dimension, -categorical coefficients are allowed, derived structures on moduli spaces are considered and more general spaces than those arising from flat bundles are permitted.
Cite
@article{arxiv.2504.05360,
title = {The derived moduli of Stokes data},
author = {Mauro Porta and Jean-Baptiste Teyssier},
journal= {arXiv preprint arXiv:2504.05360},
year = {2025}
}
Comments
The paper "Homotopy theory of Stokes structures and derived moduli" arXiv:2401.12335v1 was split in two. Introduction improved and examples added. Comparison between Stokes functors and classical Stokes data in dimension 1 added (Th 10.7.7)