3 papers
math.DS2023
Singularities of holomorphic codimension one foliations of the complex projective plane
Dominique Cerveau, Julie Déserti
We prove that any holomorphic codimension 1 foliation on the complex projective plane has at most one singular point up to the action of an ad-hoc birational self map of the comple…
math.GR2022
Algebraic properties of the group of germs of diffeomorphisms
Dominique Cerveau, Julie Déserti
We establish some algebraic properties of the group of germs of analytic diffeomorphisms of , and its formal completion $\widehat{\mat…
math.DS2022
Holomorphic vector fields with a barycentric condition
Dominique Cerveau, Julie Déserti, Alcides Lins Neto
We study the -tuples of holomorphic vector fields satisfying the barycentric property , where de…