Une caractérisation des surfaces d'Inoue-Hirzebruch
[A characterization of Inoue-Hirzebruch surfaces]
Annales de l'Institut Fourier, Volume 51 (2001) no. 5, pp. 1243-1257.

We show that among the surfaces of class VII 0 with b 2 >0, the Inoue-Hirzebruch surfaces are characterized by the property of admitting two twisted vector fields. This result is a step towards the understanding of foliations on VII 0 surfaces.

On montre que parmi les surfaces compactes complexes de classe VII 0 avec b 2 >0, les surfaces d’Inoue-Hirzebruch sont caractérisées par le fait qu’elles possèdent deux champs de vecteurs tordus. Ce résultat est un pas vers la compréhension des feuilletages sur les surfaces VII 0 .

DOI: 10.5802/aif.1854
Classification: 32J15,  32S25,  37F75
Keywords: compact complex surface, class seven (VII), Inoue-Hirzebruch, holomorphic singular foliation, elliptic singularity
Oeljeklaus, Karl 1; Toma, Matei 2; Zaffran, Dan 1

1 Centre de Mathématiques et d'Informatique, LATP-UMR 6632, 39 rue Joliot-Curie, 13453 Marseille Cedex 13
2 Universität Osnabrück, Fachbereich Mathematik-Informatik, 49069 Osnabrück
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Oeljeklaus, Karl; Toma, Matei; Zaffran, Dan. Une caractérisation des surfaces d'Inoue-Hirzebruch. Annales de l'Institut Fourier, Volume 51 (2001) no. 5, pp. 1243-1257. doi : 10.5802/aif.1854. http://www.numdam.org/articles/10.5802/aif.1854/

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