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| HAL : hal-00137895, version 1 |
| DOI : 10.1007/BF02384562 |
| Fiche détaillée |  Récupérer au format |
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| Ark. Mat. Volume 39, no 2 (2001) 375-381 |
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| Zéros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$] |
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| Myriam Ounaïes 1 |
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| (10/2001) |
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| It is known that, unlike the one dimensional case, it is not possible to find an upper bound for the zeros of an entire map from $\Bbb C^n$ to $\Bbb C^n$ in terms of the growth of the map. However, if we only consider the "non-degenerate" zeros, that is, the zeros where the jacobian is not "too small", it becomes possible. We give a new proof of this fact. |
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| 1 : | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| Domaine | : | Mathématiques/Variables complexes |
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| Several complex variables – holomorphic maps – zeros distribution |
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| hal-00137895, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00137895 | |
| oai:hal.archives-ouvertes.fr:hal-00137895 | |
| Contributeur : Myriam Ounaies | |
| Soumis le : Jeudi 22 Mars 2007, 14:31:38 | |
| Dernière modification le : Lundi 26 Mars 2007, 14:25:50 | |
