Claudia R. Alcántara

activity

20232026

collaborators

3 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

Remarks on foliations on $CP^{2}$ with a unique singular point

Claudia R. Alcántara, Jorge Mozo-Fernández

This paper is a contribution to the study of foliations on $CP^{2}$ with a unique singularity. We provide an explicit example in degree 7 of such a foliation, in the non dic…

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

The Gauss map of a projective foliation

Remarks on foliations on CP2 with a unique singular point

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

Remarks on foliations on $CP^{2}$ with a unique singular point