Brunella-Khanedani-Suwa variational residues for invariant currents

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.

To Israel Vainsencher on the occasion of his 70th birthday