Degree of the Exceptional Component of the Space of Holomorphic Foliations of Degree Two and Codimension One in P3

2018/06/29 by Rossini, Artur
#14N10 #14N15 (primary) #37F75 (secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.11340

Abstract

The purpose of this thesis is to obtain the degree of the exceptional component of the space of holomorphic foliations of degree two and codimension one in P3. I 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.

Related

• Degree of the exceptional component of foliations in P3
• Codimension one foliations of degree three on projective spaces
• Pull-back components of the space of foliations of codimension ≥2
• Formes logarithmiques et feuilletages non dicritiques
• Codimension two holomorphic foliations