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Algebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varieties
Published online by Cambridge University Press: 22 January 2016
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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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1981
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