D. Cerveau

activity

20042026

most citedCodimension two holomorphic foliations

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

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3 papers · 1 filter

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…

Foliations on CP3 of degree 2 that have a line as singular set

Algebraic properties of the group of germs of diffeomorphisms

Holomorphic vector fields with a barycentric condition

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