Brunella-Khanedani-Suwa variational residues for invariant currents

2018/02/25 by Corrêa, Mauricio, Fernández-Pérez, Arturo, Soares, Marcio G.
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.09093

Abstract

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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