Skeletons and moduli of Stokes torsors
Algebraic Geometry
2017-01-12 v2
Abstract
We prove an analogue for Stokes torsors of Deligne's skeleton conjecture and deduce from it the representability of the functor of relative Stokes torsors by an affine scheme of finite type over C. This provides, in characteristic 0, a local analogue of the existence of a coarse moduli for skeletons with bounded ramification, due to Deligne. As an application, we use the geometry of this moduli to derive quite strong finiteness results for integrable systems of differential equations in several variables which did not have any analogue in one variable.
Cite
@article{arxiv.1609.01559,
title = {Skeletons and moduli of Stokes torsors},
author = {Jean-Baptiste Teyssier},
journal= {arXiv preprint arXiv:1609.01559},
year = {2017}
}
Comments
Proof of the main theorem simplified following a suggestion of M. Brion and P. Eyssidieux, Introduction rewritten