Degree of the exceptional component of foliations in P3

Abstract

The purpose of this work is to obtain the degree of the exceptional component of the space of holomorphic foliations of degree two and codimension one in P^3. We construct a parameter space as an explicit fiber bundle over the variety of complete flags. Using tools from equivariant intersection theory, especially Bott's formula, the degree is expressed as an integral over our parameter space.

14 pages. Submitted to the special issue of RACSAM dedicated to the conference "Geometry of Singularities and Differential Equations - Celebrating the contributions of Felipe Cano to the Theory of Singularities"