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Article Dans Une Revue The Journal of Geometric Analysis Année : 2023

A Residue Formula for Meromorphic Connections and Applications to Stable Sets of Foliations

Masanori Adachi

Résumé

We discuss residue formulae that localize the first Chern class of a line bundle to the singular locus of a given holomorphic connection. As an application, we explain a proof for Brunella’s conjecture about exceptional minimal sets of codimension one holomorphic foliations with ample normal bundle and for a non-existence theorem of Levi flat hypersurfaces with transversely affine Levi foliation in compact Kähler surfaces.

Dates et versions

hal-04180019 , version 1 (10-08-2023)

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Masanori Adachi, Séverine Biard, Judith Brinkschulte. A Residue Formula for Meromorphic Connections and Applications to Stable Sets of Foliations. The Journal of Geometric Analysis, 2023, 33 (10), pp.338. ⟨10.1007/s12220-023-01385-9⟩. ⟨hal-04180019⟩
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