3 citations · 3 across the 5 of their papers we have counts for
8 papers
Birational geometry of foliations associated to simple derivations
Gael Cousin, Luis Gustavo Mendes, Ivan Pan
We propose a study of the foliations of the projective plane induced by simple derivations of the polynomial ring in two indeterminates over the complex field. These correspond to…
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…
Toward Effective Liouvillian Integration
Gaël Cousin, Alcides Lins Neto, Jorge Vitório Pereira
We prove that foliations on the projective plane admitting a Liouvillian first integral but not admitting a rational first integral always have invariant algebraic curves of degree…
Finite braid group orbits in Aff(C)-character varieties of the punctured sphere
Gaël Cousin, Delphine Moussard
We give a complete description of finite braid group orbits in Aff(C)-character varieties of the punctured Riemann sphere. This is performed thanks to a coalescence procedure and t…
Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties
Gaël Cousin
We study algebraic isomonodromic deformations of flat logarithmic connections on the Riemann sphere with poles, for arbitrary rank. We introduce a natural property of alg…
Projective representations of fundamental groups of quasiprojective varieties: a realization and a lifting result
Gaël Cousin
We discuss two results about projective representations of fundamental groups of quasiprojective varieties. The first is a realization result which, under a nonresonance assumption…