Webs Generated by Products of convex and homogeneous Foliations on ℙ²

2024/11/14 by Carla Pracias, Pracias, Carla, Maycol Falla Luza +1
Computer Science · Mathematics · #14C21 #32S65 #53A60 #Advanced Differential Equations and Dynamical Systems #Advanced Graph Theory Research #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Computational Geometry and Mesh Generation #Dynamical Systems (math.DS) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2411.09602

openalex publication_date 2024/11/14 · openalex created_date 2024/11/17 · openalex updated_date 2026/07/28

Abstract

This paper investigates flat webs on the projective plane. We present two methods for constructing such webs: the first involves taking the product of finitely many convex reduced foliations and invariant lines, while the second consists of taking the product of finitely many convex homogeneous foliations and invariant lines. In both cases, we demonstrate that the dual web is flat.

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