JournalscmhVol. 90, No. 2pp. 479–502

Germs of singular Levi-flat hypersurfaces and holomorphic foliations

  • Rasul Shafikov

    The University of Western Ontario, London, Canada

  • Alexandre Sukhov

    Université des Sciences et Technologies de Lille, Villeneuve d'Ascq, France
Germs of singular Levi-flat hypersurfaces and holomorphic foliations cover
Download PDF

Abstract

It is shown that the Levi foliation of a real analytic Levi-flat hypersurface extends to a -web near a nondicritical singular point and admits a multiple-valued meromorphic first integral.

Cite this article

Rasul Shafikov, Alexandre Sukhov, Germs of singular Levi-flat hypersurfaces and holomorphic foliations. Comment. Math. Helv. 90 (2015), no. 2, pp. 479–502

DOI 10.4171/CMH/361