On Levi flat hypersurfaces with transversely affine foliation

Séverine Biard (1) , Masanori Adachi (2)

1 CERAMATHS - Laboratoire de Matériaux Céramiques et de Mathématiques
2 Shizuoka University

We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in a compact Kähler surface.

Mots clés: Abstract We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in a compact Kähler surface. © 2021; The Author(s); under exclusive licence to Springer-Verlag GmbH Germany; part of Springer Nature. Author keywords Integrable connection; Levi flat; Pseudoconvexity; Transversely affine foliation

Domaines: Variables complexes [math.CV]

Séverine Biard, Masanori Adachi. On Levi flat hypersurfaces with transversely affine foliation. Mathematische Zeitschrift, In press, ⟨10.1007/s00209-021-02927-z⟩. ⟨hal-03519349⟩