Stability of pullbacks of foliations on weighted projective spaces
Algebraic Geometry
2025-01-14 v2 Complex Variables
Dynamical Systems
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 corresponding spaces of foliations, most of them being previously unknown. This result also provides an alternative and unified proof for the stability of other families of foliations.
Keywords
Cite
@article{arxiv.2212.12974,
title = {Stability of pullbacks of foliations on weighted projective spaces},
author = {Javier Gargiulo Acea and Ariel Molinuevo and Federico Quallbrunn and Sebastián Lucas Velazquez},
journal= {arXiv preprint arXiv:2212.12974},
year = {2025}
}
Comments
Revised version