6 citations · 18 across the 10 of their papers we have counts for
12 papers
Global asymptotics of the sixth Painlevé equation in Okamoto's space
Viktoria Heu, Nalini Joshi, Milena Radnović
We study dynamics of solutions in the initial value space of the sixth Painlevé equation as the independent variable approaches zero. Our main results describe the repeller set, sh…
Degeneration from difference to differential Okamoto spaces for the sixth Painlevé equation
Thomas Dreyfus, Viktoria Heu
In the current paper we study the -analogue introduced by Jimbo and Sakai of the well known Painlevé VI differential equation. We explain how it can be deduced from a -analog…
Isomonodromic deformations of logarithmic connections and stable parabolic vector bundles
Indranil Biswas, Viktoria Heu, Jacques Hurtubise
We consider irreducible logarithmic connections over compact Riemann surfaces of genus at least two. The underlying vector bundle inherits a natural parabolic str…
Isomonodromic deformations and very stable vector bundles of rank two
Indranil Biswas, Viktoria Heu, Jacques Hurtubise
For the universal isomonodromic deformation of an irreducible logarithmic rank two connection over a smooth complex projective curve of genus at least two, consider the family of h…
Algebraic isomonodromic deformations and the mapping class group
Gaël Cousin, Viktoria Heu
The germ of the universal isomonodromic deformation of a logarithmic connection on a stable n-pointed genus g curve always exists in the analytic category. The first part of this p…
Isomonodromic deformations of irregular connections and stability of bundles
Indranil Biswas, Viktoria Heu, Jacques Hurtubise
Let be a reductive affine algebraic group defined over , and let be a meromorphic -connection on a holomorphic -bundle , over a smooth complex…