no. 6
Homotopy groups of generic leaves of logarithmic foliations
[Groupes d’homotopie des feuilles generiques des feuilletages logarithmiques]
Rodríguez-Guzmán, Diego1
1 CIMAT Dept. de matemáticas básicas C. Valenciana s/n Guanajuato, GTO. CP:36023 (México)
Annales de l'Institut Fourier, Tome 69 (2019) no. 6, pp. 2811-2824.

Nous étudions les groupes d’homotopie des feuilles génériques des feuilletages logarithmiques sur les variétes projetives complexes. Nous montrons une relation entre les groupes d’homotopie d’une feuille générique et ceux du complement du diviseur des pôles du feuilletage logarithmique.

We study the homotopy groups of generic leaves of logarithmic foliations on complex projective manifolds. We exhibit a relation between the homotopy groups of a generic leaf and of the complement of the polar divisor of the logarithmic foliation.

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DOI : 10.5802/aif.3307
Classification : 14J99, 32Q55, 55Q52
Keywords: Holomorphic foliations, Logarithmic, Topology of leaves
Mot clés : Feuilletages holomorphes, Logarithmique, Topologie de feuilles
Rodríguez-Guzmán, Diego 1

1 CIMAT Dept. de matemáticas básicas C. Valenciana s/n Guanajuato, GTO. CP:36023 (México) 
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Rodríguez-Guzmán, Diego. Homotopy groups of generic leaves of logarithmic foliations. Annales de l'Institut Fourier, Tome 69 (2019) no. 6, pp. 2811-2824. doi : 10.5802/aif.3307. http://www.numdam.org/articles/10.5802/aif.3307/

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