Polystability of Stokes representations and differential Galois groups
Algebraic Geometry
2026-05-13 v3
Abstract
Polystability of (twisted) Stokes representations (i.e. wild monodromy representations) will be characterised, in terms of the corresponding differential Galois group (generalising the Zariski closure of the monodromy group in the tame case). This extends some results of Richardson. Further, the intrinsic approach to such results will be established, in terms of reductions of Stokes local systems.
Keywords
Cite
@article{arxiv.2301.09067,
title = {Polystability of Stokes representations and differential Galois groups},
author = {Philip Boalch and Daisuke Yamakawa},
journal= {arXiv preprint arXiv:2301.09067},
year = {2026}
}
Comments
24 pages, accepted version. Link to Martinet-Ramis wild $\pi_1$ clarified p.16