Foliations on P2 with only one singular point

Fernández P.; Puchuri L.; Rosas R. · Geometriae Dedicata (2022) · 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.

Instituciones: Pontificia Universidad Católica del Perú