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 = {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://www.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://www.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 %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1152/ %R 10.5802/afst.1152 %G en %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, Serie 6, Volume 16 (2007) no. 2, pp. 369-383. doi : 10.5802/afst.1152. http://www.numdam.org/articles/10.5802/afst.1152/
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