Pull-back components of the space of foliations of codimension ≥2

2016/07/22 by W. Costa e Silva, Silva, W. Costa e, Alcides Lins Neto +1
Mathematics · #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1607.06744

openalex publication_date 2016/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new list of irreducible components for the space of k-dimensional holomorphic foliations on \mathbb Pⁿ, n≥3, k≥2. They are associated to pull-back of dimension one foliations on \mathbb P^n-k+1 by non-linear rational maps.

Related

• Branched pull-back components of the space of codimension 2 foliations on \mathbb P⁴
• Branched pull-back components of the space of codimension 1 foliations on \mathbb Pⁿ
• Irreducible components of the space of foliations by surfaces
• Stability of branched pull-back projective foliations
• Degree of the exceptional component of foliations in P3