We consider a nondegenerate holomorphic map where is a compact Hermitian manifold of dimension larger than or equal to and is an open connected complex manifold of dimension . In this article we give criteria which permit to construct Ahlfors’ currents in .
On considère une application holomorphe non dégénérée où est une variété Hermitienne compacte de dimension supérieure ou égale à et est une variété complexe, connexe, ouverte de dimension . Dans cet article, nous donnons des critères qui permettent de construire des courants d’Ahlfors dans .
@article{AFST_2010_6_19_1_121_0,
author = {de Th\'elin, Henry},
title = {Ahlfors{\textquoteright} currents in higher dimension},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {121--133},
publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 19},
number = {1},
year = {2010},
doi = {10.5802/afst.1239},
mrnumber = {2597784},
zbl = {1195.32004},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/afst.1239/}
}
TY - JOUR AU - de Thélin, Henry TI - Ahlfors’ currents in higher dimension JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2010 DA - 2010/// SP - 121 EP - 133 VL - Ser. 6, 19 IS - 1 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://archive.numdam.org/articles/10.5802/afst.1239/ UR - https://www.ams.org/mathscinet-getitem?mr=2597784 UR - https://zbmath.org/?q=an%3A1195.32004 UR - https://doi.org/10.5802/afst.1239 DO - 10.5802/afst.1239 LA - en ID - AFST_2010_6_19_1_121_0 ER -
%0 Journal Article %A de Thélin, Henry %T Ahlfors’ currents in higher dimension %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2010 %P 121-133 %V Ser. 6, 19 %N 1 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U https://doi.org/10.5802/afst.1239 %R 10.5802/afst.1239 %G en %F AFST_2010_6_19_1_121_0
de Thélin, Henry. Ahlfors’ currents in higher dimension. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 19 (2010) no. 1, pp. 121-133. doi : 10.5802/afst.1239. http://archive.numdam.org/articles/10.5802/afst.1239/
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