5 papers · 1 filter
On the Riemann-Hilbert problem for hyperplane arrangements with a good line
Shunya Adachi, Kazuki Hiroe
We study a variant of the Riemann-Hilbert problem on the complements of hyperplane arrangements. This problem asks whether a given local system on the complement can be realized as…
Unfolding of wild character varieties
Kazuki Hiroe, Daisuke Yamakawa
In this paper, we study wild character varieties on compact Riemann surfaces and construct Poisson maps from wild to tame character varieties by unfolding irregular singularities i…
Deformation of moduli spaces of meromorphic -connections on via unfolding of irregular singularities
Kazuki Hiroe
Unfolding singular points in linear differential equations is a classical technique for studying the properties of irregular singularities by relating them to regular singularities…
A note on unfolding manifolds of meromorphic connections on the Riemann sphere with unramified singularities
Kazuki Hiroe
This note explains a construction of a Poisson manifold whose symplectic foliation describes a deformation of a moduli space of meromorphic connections with unramified irregular si…
Index of rigidity of differential equations and Euler characteristic of their spectral curves
Kazuki Hiroe
We show a coincidence of index of rigidity of differential equations with irregular singularities on a compact Riemann surface and Euler characteristic of the associated spectral c…