Une caractérisation des surfaces d'Inoue-Hirzebruch

Oeljeklaus, Karl; Toma, Matei; Zaffran, Dan

Oeljeklaus, Karl ; Toma, Matei ; Zaffran, Dan

Annales de l'Institut Fourier, Tome 51 (2001), p. 1243-1257 / Harvested from Numdam

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Résumé
Abstract

On montre que parmi les surfaces compactes complexes de classe $V I I_{0}$ 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 $V I I_{0}$ .

We show that among the surfaces of class $V I I_{0}$ 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 $V I I_{0}$ surfaces.

Publié le : 2001-01-01

MR 1860665 | Zbl 0993.32013

DOI : https://doi.org/10.5802/aif.1854
Classification: 32J15, 32S25, 37F75
Mots clés: surface complexe de classe sept (VII), Inoue-Hirzebruch, feuilletage holomorphe singulier, singularité elliptique

@article{AIF_2001__51_5_1243_0,
     author = {Oeljeklaus, Karl and Toma, Matei and Zaffran, Dan},
     title = {Une caract\'erisation des surfaces d'Inoue-Hirzebruch},
     journal = {Annales de l'Institut Fourier},
     volume = {51},
     year = {2001},
     pages = {1243-1257},
     doi = {10.5802/aif.1854},
     mrnumber = {1860665},
     zbl = {0993.32013},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_2001__51_5_1243_0}
}

Oeljeklaus, Karl; Toma, Matei; Zaffran, Dan. Une caractérisation des surfaces d'Inoue-Hirzebruch. Annales de l'Institut Fourier, Tome 51 (2001) pp. 1243-1257. doi : 10.5802/aif.1854. http://gdmltest.u-ga.fr/item/AIF_2001__51_5_1243_0/

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