Authors
Citation
M. Ounaies, UNAVOIDABLE SETS FOR HOLOMORPHIC MAPS FRO M C-N TO C-N, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(5), 1996, pp. 433-438
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
07644442
Volume
322
Issue
5
Year of publication
1996
Pages
433 - 438
Database
ISI
SICI code
0764-4442(1996)322:5<433:USFHMF>2.0.ZU;2-L
Abstract
We consider families of sets {E(a), a epsilon C-n), which intersect th
e image of C-n by every non-degenerate holomorphic map and we show tha
t if the Jacobian of F never vanishes, the asymptotic growth of F-1 (E
(a)) boolean AND B (0, r) where r --> +infinity is the same for every
a epsilon C-n\{z : (i = 1)Pi(n) z(i) = 0}.