Unlikely intersections of codimension one foliations

2025/05/20 by Gabriel Santos Barbosa, Barbosa, Gabriel Santos, Jorge Vitório Pereira +1
Computer Science · Mathematics · #32M25 #37F75 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2505.14873

openalex publication_date 2025/05/20 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

Abstract

We study families of singular holomorphic foliations on complex projective manifolds whose total intersection defines a foliation of unexpectedly low codimension.

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• Transversely projective holomorphic foliations with singularities
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• Codimension one holomorphic foliations on \mathbb Pⁿ_{\mathbb C}: problems in complex geometry