| Type de publication : |
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Preprint, Working Paper, Document sans référence, etc. |
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| Domaine : |
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| Titre : |
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Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds |
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| Auteur(s) : |
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Gianluca Pacienza ( ) 1, Erwan Rousseau () 1 |
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| Laboratoire : |
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| Résumé : |
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Motivated by the Green-Griffiths conjecture, we study maximal rank holomorphic maps from $\C^p$ into complex manifolds. When $p>1$ such maps should in principle be more tractable than entire curves. We extend to this setting the jet-bundles techniques introduced by Semple, Green-Griffiths and Demailly. Our main application is the non-existence of maximal rank holomorphic maps from $\C^2$ into the very general degree $d$ hypersurface in $\bP^4$, as soon as $d\geq 93.$ |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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27/10/2008 |
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| Mots Clés : |
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hyperbolicity of projective varieties – holomorphic mappings – jet bundles – Green-Griffiths conjecture – Kobayashi conjecture |
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| Classification : |
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14J70; 32Q45 |
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| Commentaire : |
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31 pages |
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