Differentiable Invariants of Holomorphic Foliations

Rosas R. · Bulletin of the Brazilian Mathematical Society (2022) · DOI: 10.1007/s00574-022-00297-6

Resumen

In this paper we study differentiable equivalences of germs of singular holomorphic foliations in dimension two. We prove that the Camacho–Sad indices are invariant by such equivalences. We also prove that the Baum–Bott index is a differentiable invariant for some classes of foliations. As a corollary we show that generic degree two holomorphic foliations of P2 are differentiably rigid.

Instituciones: Pontificia Universidad Católica del Perú