Zéros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$]
Ounaïes, Myriam
HAL, hal-00137895 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-10-05
Classification:  Several complex variables,  holomorphic maps,  zeros distribution,  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00137895,
     author = {Ouna\"\i es, Myriam},
     title = {Z\'eros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$]},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00137895}
}

Ounaïes, Myriam. Zéros d'applications holomorphes de $\bold C\sp n$ dans $\bold C\sp n$. (French) [Zeros of a holomorphic self-map of $\bold C\sp n$]. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00137895/