Stability of pullbacks of foliations on weighted projective spaces

Fuente: arXiv
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Hauptverfasser: Acea, Javier Gargiulo, Molinuevo, Ariel, Quallbrunn, Federico, Velazquez, Sebastián Lucas
Format: Preprint
Veröffentlicht: 2022
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author Acea, Javier Gargiulo
Molinuevo, Ariel
Quallbrunn, Federico
Velazquez, Sebastián Lucas
author_facet Acea, Javier Gargiulo
Molinuevo, Ariel
Quallbrunn, Federico
Velazquez, Sebastián Lucas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2212_12974
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Stability of pullbacks of foliations on weighted projective spaces
Acea, Javier Gargiulo
Molinuevo, Ariel
Quallbrunn, Federico
Velazquez, Sebastián Lucas
Algebraic Geometry
Complex Variables
Dynamical Systems
14D20, 37F75, 14B10, 32S65, 14M25
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.
title Stability of pullbacks of foliations on weighted projective spaces
topic Algebraic Geometry
Complex Variables
Dynamical Systems
14D20, 37F75, 14B10, 32S65, 14M25
url https://arxiv.org/abs/2212.12974