Brunella-Khanedani-Suwa variational residues for invariant currents
Mauricio Corrêa, Arturo Fernández-Pérez, Marcio G. Soares
Journal of Singularities
volume 23 (2021), 107-115
Received: 20 February 2020. Received in revised form: 28 April 2021.
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Abstract:
In this work we prove a Brunella--Khanedani--Suwa variational type residue theorem for currents invariant by holomorphic foliations. As a consequence, we provide conditions for the accumulation of the leaves to the intersection of the singular set of a holomorphic foliation with the support of an invariant current.
2010 Mathematical Subject Classification:
Primary 32A27, 37F75, 32S65; Secondary 57R20, 34M45,32C30
Key words and phrases:
Holomorphic foliations, Residues, Invariant currents
Author(s) information:
Mauricio Corrêa
Università degli Studi di Bari,
Via E. Orabona 4, I-70125, Bari, Italy
UFMG,
Avenida Antônio Carlos, 6627, 30161-970 Belo Horizonte, Brazil
email: mauriciojr@ufmg.br
Arturo Fernández-Pérez
UFMG,
Avenida Antônio Carlos, 6627,
30161-970 Belo Horizonte, Brazil
email: fernandez@ufmg.br
Marcio G. Soares
UFMG,
Avenida Antônio Carlos, 6627,
30161-970 Belo Horizonte, Brazil
email: msoares@ufmg.br
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