Brunella-Khanedani-Suwa variational residues for invariant currents

Brunella-Khanedani-Suwa variational residues for invariant currents

In this work we prove a Brunella-Khanedani-Suwa variational type residue theorem for currents invariant by holomorphic foliations. As a consequence, we give conditions for the leaves of a singular holomorphic foliation to accumulate in the intersection of the singular set of the foliation with the s...

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Veröffentlicht in:arXiv.org 2018-02
Hauptverfasser: Corrêa, Mauricio, Fernández-Pérez, Arturo, Soares, Marcio G
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Invariants
Mathematical analysis
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description In this work we prove a Brunella-Khanedani-Suwa variational type residue theorem for currents invariant by holomorphic foliations. As a consequence, we give conditions for the leaves of a singular holomorphic foliation to accumulate in the intersection of the singular set of the foliation with the support of an invariant current.
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title Brunella-Khanedani-Suwa variational residues for invariant currents
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