Le groupe de Cremona est hopfien
We describe the endomorphisms of the Cremona group and obtain that the Cremona group is hopfian.
math.GR↗
arXiv subjects
Julie Deserti
Publications and source records attributed to Julie Deserti.
Sur les sous-groupes nilpotents du groupe de Cremona
We describe the nilpotent subgroups of the group Bir(P^2(C)) of birational transformations of the complex projective plane. Let N be a nilpotent subgroup of class k>1; then either each element of N has finite order, or N is virtually metabelian.
math.GR↗
Feuilletages et actions de groupes sur les espaces projectifs
A holomorphic foliation $\mathscr{F}$ on a compact complex manifold $M$ is said to be an $\mathscr{L}$-foliation if there exists an action of a complex Lie group $G$ such that the generic leaf of $\mathscr{F}$ coincides with the generic orbit of $G$. We study $\mathscr{L}$-foliations of codimension one, in particular in projective space, in the spirit of classical invariant theory, but here the invariants are sometimes transcendantal ones. We give a bestiary of examples and general properties. Some classification results are obtained in low dimensions.
math.DS↗