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Stability of pullbacks of foliations on weighted projective spaces

Javier Gargiulo AceaAriel MolinuevoFederico QuallbrunnSebasti\'an Lucas Velazquez
Dec 2022
摘要
We show a stability-type theorem for foliations on projective spaces whicharise as pullbacks of foliations with a split tangent sheaf on weightedprojective spaces. As a consequence, we will be able to construct manyirreducible components of the corresponding spaces of foliations, most of thembeing previously unknown. This result also provides an alternative and unifiedproof for the stability of other families of foliations.
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