Article Dans Une Revue International Mathematics Research Notices Année : 2023

Smooth Points of the Space of Plane Foliations with a Center

Résumé

We prove that a logarithmic foliation corresponding to a generic line arrangement of $d+1 \geq 3$ lines in the complex plane, with pairwise natural and co-prime residues, is a smooth point of the center set of plane foliations (vector fields) of degree $d$.

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Dates et versions

hal-04935938 , version 1 (07-02-2025)

Identifiants

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Lubomir Gavrilov, Hossein Movasati. Smooth Points of the Space of Plane Foliations with a Center. International Mathematics Research Notices, 2023, 2023 (15), pp.13477-13500. ⟨10.1093/imrn/rnac312⟩. ⟨hal-04935938⟩
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