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Article Dans Une Revue Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society Année : 2023

SINGULARITIES OF HOLOMORPHIC CODIMENSION ONE FOLIATIONS OF THE COMPLEX PROJECTIVE PLANE

Résumé

We prove that any holomorphic codimension 1 foliation on the complex projective plane has at most one singularity up to the action of an ad-hoc birational map. Consequently, any algebraic foliation on the affine plane has no singularities up to the action of a suitable birational self map of the complex projective plane into itself.
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Dates et versions

hal-04335451 , version 1 (11-12-2023)

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Dominique Cerveau, Julie Déserti. SINGULARITIES OF HOLOMORPHIC CODIMENSION ONE FOLIATIONS OF THE COMPLEX PROJECTIVE PLANE. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2023, 54 (2), ⟨10.1007/s00574-023-00332-0⟩. ⟨hal-04335451⟩
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