Let f be a polynomial automorphism of the affine plane. In this paper we consider the
possibility for it to possess infinitely many periodic points on an algebraic curve C. We …

We show recurrent phenomena for orbits of groups of local complex analytic
diffeomorphisms that have a certain subgroup or image by a morphism of groups that is non …

Given a subgroup G of the group of germs of biholomorphisms, or more generally the group
of formal diffeomorphisms, we provide a constructive description of the Zariski-closure of G if …

Following the ideas of Arnold and Seigal–Yakovenko, we prove that the space of matrix
coefficients of a formal Lie group action belongs to a Noetherian ring. Using this result, we …

We are interested in classifying groups of local biholomorphisms (or even formal
diffeomorphisms) that can be endowed with a canonical structure of algebraic groups and …

We show by explicit example that local intersection multiplicities in holomorphic dynamical
systems can grow arbitrarily fast, answering a question of VI Arnold. On the other hand, we …

We say that a group G of local (maybe formal) biholomorphisms satisfies the uniform
intersection property if the intersection multiplicity takes only finitely many values as a …