7 papers
Dynamics of a family of polynomial automorphisms of , a phase transition
Julie Déserti, Martin Leguil
The polynomial automorphisms of the affine plane have been studied a lot: if is such an automorphism, then either preserves a rational fibration, has an uncountable central…
Degree growth of polynomial automorphisms and birational maps: some examples
Julie Déserti
We provide the existence of new degree growths in the context of polynomial automorphisms of : if is an integer , then for any $\ell\leq \left[\frac{k-1}{…
Some properties of the group of birational maps generated by the automorphisms of and the standard involution
Julie Déserti
We give some properties of the subgroup of the group of birational self-maps of generated by the standard involution and the group of au…
Nœther decomposition for birational maps
Julie Déserti
Let be a birational map of the complex projective plane. We know that can be written as a composition of automorphisms of and the standard quadrat…
Action of the Cremona group on foliations on : some curious facts
Dominique Cerveau, Julie Déserti
The Cremona group of birational transformations of acts on the space of holomorphic foliations on the complex projective plane. Since this…
Representations of some lattices into the group of analytic diffeomorphisms of the sphere
Julie Déserti
In \cite{Ghys} it is proved that any morphism from a subgroup of finite index of to the group of analytic diffeomorphisms of has a finite…