Algebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varieties
Keyword(s):
The famous Picard theorem states that a holomorphic mapping f: C → P1(C) omitting distinct three points must be constant. Borel [1] showed that a non-degenerate holomorphic curve can miss at most n + 1 hyperplanes in Pn(C) in general position, thus extending Picard’s theorem (n = 1). Recently, Fujimoto [3], Green [4] and [5] obtained many Picard type theorems using Borel’s methods for holomorphic mappings.
1990 ◽
Vol 120
◽
pp. 155-170
◽
Keyword(s):
1977 ◽
Vol 16
(2)
◽
pp. 279-295
◽
Keyword(s):
1975 ◽
Vol 27
(2)
◽
pp. 446-458
◽