Dans cet article nous démontrons que toute courbe entière dans une hypersurface générique de degré dans est algébriquement dégénérée i.e il existe une sous-variété propre qui contient la courbe entière.
In this article we prove that every entire curve in a generic hypersurface of degree in is algebraically degenerated i.e there exists a proper subvariety which contains the entire curve.
@article{AFST_2007_6_16_2_369_0,
author = {Rousseau, Erwan},
title = {Weak analytic hyperbolicity of generic hypersurfaces of high degree in $\mathbb{P}^{4}$},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {369--383},
publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 16},
number = {2},
year = {2007},
doi = {10.5802/afst.1152},
mrnumber = {2331545},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/afst.1152/}
}
TY - JOUR
AU - Rousseau, Erwan
TI - Weak analytic hyperbolicity of generic hypersurfaces of high degree in $\mathbb{P}^{4}$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2007
SP - 369
EP - 383
VL - 16
IS - 2
PB - Université Paul Sabatier, Institut de mathématiques
PP - Toulouse
UR - http://archive.numdam.org/articles/10.5802/afst.1152/
DO - 10.5802/afst.1152
LA - en
ID - AFST_2007_6_16_2_369_0
ER -
%0 Journal Article
%A Rousseau, Erwan
%T Weak analytic hyperbolicity of generic hypersurfaces of high degree in $\mathbb{P}^{4}$
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 2007
%P 369-383
%V 16
%N 2
%I Université Paul Sabatier, Institut de mathématiques
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%U http://archive.numdam.org/articles/10.5802/afst.1152/
%R 10.5802/afst.1152
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%F AFST_2007_6_16_2_369_0
Rousseau, Erwan. Weak analytic hyperbolicity of generic hypersurfaces of high degree in $\mathbb{P}^{4}$. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 16 (2007) no. 2, pp. 369-383. doi : 10.5802/afst.1152. http://archive.numdam.org/articles/10.5802/afst.1152/
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