16 citations · 26 across the 14 of their papers we have counts for
5 papers · 1 filter
Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations
Kazuki Hiroe
This is a note in which we first review symmetries of moduli spaces of stable meromorphic connections on trivial vector bundles over the Riemann sphere, and next discuss symmetries…
Local Fourier transform and blowing up
Kazuki Hiroe
We consider a resolution of ramified irregular singularities of meromorphic connections on a formal disk via local Fourier transforms. A necessary and sufficient condition for an i…
Linear differential equations on the Riemann sphere and representations of quivers
Kazuki Hiroe
Our interest in this paper is a generalization of the additive Deligne-Simpson problem which is originally defined for Fuchsian differential equations on the Riemann sphere. We sha…
Linear differential equations on and root systems
Kazuki Hiroe
In this paper, we study the Euler transform on linear ordinary differential operators on . The spectral type is the tuple of integers which count the multiplicities…
Twisted Euler transform of differential equations with an irregular singular point
Kazuki Hiroe
N. Katz introduced the notion of the middle convolution on local systems. This can be seen as a generalization of the Euler transform of Fuchsian differential equations. In this pa…