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.
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.
@article{AFST_2007_6_16_2_369_0,
author = {Erwan Rousseau},
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 = {https://afst.centre-mersenne.org/articles/10.5802/afst.1152/}
}
TY - JOUR
AU - Erwan Rousseau
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 - https://afst.centre-mersenne.org/articles/10.5802/afst.1152/
DO - 10.5802/afst.1152
LA - en
ID - AFST_2007_6_16_2_369_0
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%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 2007
%P 369-383
%V 16
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%I Université Paul Sabatier, Institut de Mathématiques
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Erwan Rousseau. Weak analytic hyperbolicity of generic hypersurfaces of high degree in $\mathbb{P}^{4}$. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 16 (2007) no. 2, pp. 369-383. doi : 10.5802/afst.1152. https://afst.centre-mersenne.org/articles/10.5802/afst.1152/
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