On the compactification of hyperconcave ends

Marinescu, George; Dinh, Tien-Cuong

doi:10.1016/j.crma.2006.02.038

Analytic Geometry

On the compactification of hyperconcave ends
[Compactification de bouts hyperconcaves]

Présenté par : Jean-Pierre Demailly

Marinescu, George ^1,² ; Dinh, Tien-Cuong 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

Comptes Rendus. Mathématique, Tome 342 (2006) no. 9, pp. 675-680.

Résumé
Abstract

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 : 2004-11-02
Accepté le : 2006-02-21
Publié le : 2006-03-24

DOI : 10.1016/j.crma.2006.02.038

Affiliations des auteurs :

Marinescu, George ^{1, 2} ; Dinh, Tien-Cuong ³

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Marinescu, George; Dinh, Tien-Cuong. On the compactification of hyperconcave ends. Comptes Rendus. Mathématique, Tome 342 (2006) no. 9, pp. 675-680. doi : 10.1016/j.crma.2006.02.038. http://www.numdam.org/articles/10.1016/j.crma.2006.02.038/

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