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Marco Brunella
Un complément à l’article de Dloussky sur le colmatage des surfaces holomorphes
(A complement to a paper by Dloussky on filling of holomorphic surfaces)
Annales de l'institut Fourier, 58 no. 5 (2008), p. 1723-1732, doi: 10.5802/aif.2396
Article PDF | Reviews MR 2445831 | Zbl 1149.32011
Class. Math.: 32J15, 32V15
Keywords: Surfaces of class VII, filling, pseudoconvex hypersurfaces

Résumé - Abstract

We study compact complex surfaces which are degenerations of blown-up Hopf surfaces. We prove that if such a surface $S$ contains a strictly pseudoconvex global real hypersurface, then $S$ is a Kato surface. This allows to improve a result by Dloussky, published in this journal in 1993.

Bibliography

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