Stability of pullbacks of foliations on weighted projective spaces

Journal of Pure and Applied Algebra 2026 Open access

Read full text
Authors: Javier Gargiulo Acea, Ariel Molinuevo, Federico Quallbrunn, Sebastián Lucas Velazquez
DOI: 10.1016/j.jpaa.2026.108248
Cited by: 0

Abstract

We show a stability-type theorem for foliations on projective spaces which arise as pullbacks of foliations with a split tangent sheaf on weighted projective spaces. As a consequence, we will be able to construct many irreducible components of the moduli spaces of foliations of codimension 1 on P n , most of them being previously unknown. This result also provides an alternative and unified proof for the stability of other families of foliations.

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Advanced Differential Geometry Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
Journal of Pure and Applied Algebra
Volume
230
Issue
5
Pages
108248–108248
Publication date
10 April 2026
Language
EN