Zéros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$] - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Ark. Mat. Année : 2001

Zéros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$]

Résumé

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.

Dates et versions

hal-00137895 , version 1 (22-03-2007)

Identifiants

Citer

Myriam Ounaïes. Zéros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$]. Ark. Mat., 2001, Volume 39, no 2, pp.375-381. ⟨10.1007/BF02384562⟩. ⟨hal-00137895⟩
48 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More