Branched pull-back components of the space of codimension 2 foliations on \mathbb P⁴

2018/04/16 by Wanderson Costa e Silva, Silva, Wanderson Costa e
Mathematics · #32G34 #32S65 (secondary) #37F75 (primary) #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1804.05817

openalex publication_date 2018/04/16 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

We present a new list of irreducible components of the space of codimension two holomorphic foliations on \mathbb P⁴. They are associated to the pull-back by branched rational maps of 1-dimensional foliations on \mathbb P³ leaving 2-dimensional planes invariant.

Related

• Pull-back components of the space of foliations of codimension ≥2
• Branched pull-back components of the space of codimension 1 foliations on \mathbb Pⁿ
• Stability of branched pull-back projective foliations
• Degree of the exceptional component of foliations in P3
• Foliations with degenerate Gauss maps on \mathbb P⁴