Publicación

Foliations on P2 with only one singular point

Percy Fernández · Liliana Puchuri · Rudy Rosas
2022 Geometriae Dedicata DOI: 10.1007/s10711-022-00724-4

Resumen

In this paper we study holomorphic foliations on P2 with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no invariant algebraic curve. We also present several examples of such foliations in degree three.

Autores y colaboradores

Authors

Percy Fernández
Liliana Puchuri
Rudy Rosas

Palabras clave

Holomorphic Foliations Indices of Vector Fields Invariant Algebraic Curve