Degree of the exceptional component of foliations in P3
Algebraic Geometry
2018-06-14 v1
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.
Keywords
Cite
@article{arxiv.1806.04814,
title = {Degree of the exceptional component of foliations in P3},
author = {Artur Rossini and Israel Vainsencher},
journal= {arXiv preprint arXiv:1806.04814},
year = {2018}
}
Comments
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"