Germs of singular Levi-flat hypersurfaces and holomorphic foliations

Rasul Shafikov; Alexandre Sukhov

doi:10.4171/cmh/361

JournalscmhVol. 90, No. 2pp. 479–502

Germs of singular Levi-flat hypersurfaces and holomorphic foliations

Rasul Shafikov
The University of Western Ontario, London, Canada
- MathSciNet
- zbMATH Open
Alexandre Sukhov
Université des Sciences et Technologies de Lille, Villeneuve d'Ascq, France
- MathSciNet
- zbMATH Open

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Abstract

It is shown that the Levi foliation of a real analytic Levi-flat hypersurface extends to a $d$ -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