Bertrand Deroin

We will be interested in pseudo-groups of holomorphic maps acting on a Riemann surface. Basic examples are the holonomy pseudo-groups associated to an algebraic differential equation on a complex surface, or the pseudo-group associated to a correspondance on an algebraic curve. We will prove that, under a general hypothesis, a minimal set of such a dynamical system is analytic, unless the system is analytically conjugated to a Kleinian group, or a polynomial like map in the neighborhood of this minimal set.