Webs Generated by Products of convex and homogeneous Foliations on $\mathbb{P}^2$

Fuente: arXiv
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Main Authors: Pracias, Carla, Luza, Maycol Falla
Format: Preprint
Published: 2024
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author Pracias, Carla
Luza, Maycol Falla
author_facet Pracias, Carla
Luza, Maycol Falla
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09602
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Webs Generated by Products of convex and homogeneous Foliations on $\mathbb{P}^2$
Pracias, Carla
Luza, Maycol Falla
Algebraic Geometry
Complex Variables
Dynamical Systems
14C21, 32S65, 53A60
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.
title Webs Generated by Products of convex and homogeneous Foliations on $\mathbb{P}^2$
topic Algebraic Geometry
Complex Variables
Dynamical Systems
14C21, 32S65, 53A60
url https://arxiv.org/abs/2411.09602