NEVANLINNA ESTIMATES FOR HOLOMORPHIC MAPS FROM C-N TO C-N

Authors
OUNAIES M
Citation
M. Ounaies, NEVANLINNA ESTIMATES FOR HOLOMORPHIC MAPS FROM C-N TO C-N, Annales Scientifiques de l'Ecole Normale Superieure, 30(6), 1997, pp. 797-819
Citations number
19
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
30
Issue
6
Year of publication
1997
Pages
797 - 819
Database
ISI
SICI code
0012-9593(1997)30:6<797:NEFHMF>2.0.ZU;2-H
Abstract
We consider families of sets {E-a, a is an element of C-n\{z : Pi(i = 1)(n) z(i) = 0}}, which intersect the image of C-n by every non-degene rate holomorphic map and we show that the asymptotic growth of F-1(E-a ) boolean AND B(0, r) when r tends to infinity is the same for every a is an element of C-n\{z : Pi(i = 1)(n) z(i) = 0}.