English

Brunella-Khanedani-Suwa variational residues for invariant currents

Complex Variables 2018-02-27 v1 Algebraic Geometry Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1802.09093,
  title  = {Brunella-Khanedani-Suwa variational residues for invariant currents},
  author = {Mauricio Corrêa and Arturo Fernández-Pérez and Marcio G. Soares},
  journal= {arXiv preprint arXiv:1802.09093},
  year   = {2018}
}

Comments

To Israel Vainsencher on the occasion of his 70th birthday