Comptes Rendus
no. 9
Analytic Geometry
On the compactification of hyperconcave ends
[Compactification de bouts hyperconcaves]

Présenté par : Jean-Pierre Demailly

George Marinescu1, 2 ; Tien-Cuong Dinh3
1 Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, 60054, Frankfurt am Main, Germany
2 Institute of Mathematics of the Romanian Academy, Bucharest, Romania
3 Analyse complexe, Institut de mathématiques de Jussieu (UMR 7586 du CNRS), Université Pierre et Marie Curie, 175, rue du Chevaleret, plateau 7D, 75013 Paris cedex, France
Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 675-680.

On étudie une classe de variétés dont les bouts strictement pseudoconcaves peuvent être compactifiés, même en dimension deux.

We find a class of manifolds whose ‘pseudoconcave holes’ can be filled in, even in dimension two.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.02.038

George Marinescu 1, 2 ; Tien-Cuong Dinh 3

1 Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, 60054, Frankfurt am Main, Germany
2 Institute of Mathematics of the Romanian Academy, Bucharest, Romania
3 Analyse complexe, Institut de mathématiques de Jussieu (UMR 7586 du CNRS), Université Pierre et Marie Curie, 175, rue du Chevaleret, plateau 7D, 75013 Paris cedex, France 
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George Marinescu; Tien-Cuong Dinh. On the compactification of hyperconcave ends. Comptes Rendus. Mathématique, Volume 342 (2006) no. 9, pp. 675-680. doi : 10.1016/j.crma.2006.02.038. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.038/

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