D. Cerveau

activity

20042026

most citedCodimension two holomorphic foliations

4 citations · 11 across the 15 of their papers we have counts for

collaborators

17 papers

math.AG2026

The Geometry of the Exceptional Component of Degree Two Foliations on $P^{3}$

Claudia R. Alcántara, Dominique Cerveau

We study the exceptional component of the space $F (2, P^{3})$ , of codimension-one foliations of degree two on $P^{3}$ . We describe the geometry of its boundar…

math.AG2024

The Gauss map of a projective foliation

Claudia R. Alcántara, Dominique Cerveau, Alcides Lins Neto

In this paper, we study the Gauss map of a holomorphic codimension one foliation on the projective space $P^{n}$ , $n \geq 2$ , mainly the case $n = 3$ . Among other things, we wil…

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.AG2022

Foliations on $CP^{3}$ of degree $2$ that have a line as singular set

Claudia R. Alcántara, Dominique Cerveau

In this work we classify foliations on $CP^{3}$ of codimension 1 and degree $2$ that have a line as singular set. To achieve this, we do a complete description of the compon…

math.GR2022

Algebraic properties of the group of germs of diffeomorphisms

Dominique Cerveau, Julie Déserti

We establish some algebraic properties of the group $Diff (C^{n}, 0)$ of germs of analytic diffeomorphisms of $C^{n}$ , 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 $p$ -tuples of holomorphic vector fields $(X_{1}, X_{2}, \dots, X_{p})$ satisfying the barycentric property $k \sum exp t X_{k} = p \cdot id$ , where $exp tX$ de…

The Geometry of the Exceptional Component of Degree Two Foliations on P3