Preprint A657/2010
Fibers of the Baum-Bott map for foliations of degree two on $\mathbb{P}^2$.
Alcides Lins Neto
Keywords: Baum-Bott index
In this paper we study the fibers of the Baum-Bott map in the space of foliations of degree two on the projective plane $\p^2$. In the main result we prove that its generic fiber contains exactly $240$ orbits of the natural action of $Aut(\p^2)$ on the space of foliations.