Claudia R. Alcántara

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20222026

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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.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…

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

The Gauss map of a projective foliation

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

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

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