2 citations · 2 across the 4 of their papers we have counts for
4 papers
On the dynamics of Riccati foliations with non parabolic monodromy representations
Nicolas Hussenot
In this paper, we study the dynamics of Riccati foliations over non-compact finite volume Riemann surfaces. More precisely, we are interested in two closely related questions: the…
Singularities for analytic continuations of holonomy germs of Riccati foliations
Sébastien Alvarez, Nicolas Hussenot
In this paper we study the problem of analytic extension of germs of holonomy of algebraic foliations. More precisely we prove that for a Riccati foliation associated to a branched…
The leaves of the Fatou set accumulate on the leaves of the Julia set
Nicolas Hussenot
In 2001 E. Ghys, X. Gomez-Mont and J. Saludes defined the Fatou and Julia components of transversely holomorphic foliations on compact manifolds. It is a partition of the manifold…
Analytic continuation of holonomy germs of Riccati foliations along Brownian paths
Nicolas Hussenot
This paper deals with the question of analytic continuation of holonomy germs of holomorphic foliations. We prove that for a quasi-minimal Riccati foliation of the complex projecti…