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Article Dans Une Revue Annales Polonici Mathematici Année : 2012

Boundaries of Levi-flat hypersurfaces: special hyperbolic points

Pierre Dolbeault
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Résumé

Let $S\subset \C^n$, $n\geq 3$ be a compact connected 2-codimensional submanifold having the following property: there exists a Levi-flat hypersurface whose boundary is $S$, possibly as a current. Our goal is to get examples of such $S$ containing at least one special 1-hyperbolic point: sphere with two horns; elementary models and their gluing. The particular cases of graphs are also described.
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Dates et versions

hal-00669176 , version 1 (11-02-2012)
hal-00669176 , version 2 (07-01-2013)

Identifiants

Citer

Pierre Dolbeault. Boundaries of Levi-flat hypersurfaces: special hyperbolic points. Annales Polonici Mathematici, 2012, 106, pp.145-170. ⟨10.4064/ap106-0-12⟩. ⟨hal-00669176v2⟩
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