4 papers
Middle convolution for Lie algebra representations
Kazuki Hiroe
This paper introduces a Lie algebra analogue of the middle convolution functor, which is defined on the category of modules over certain Lie algebras, including, as typical motivat…
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…
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…
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…