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Anwendungen des Satzes von Picard. (German) Zbl 0578.32051
A complex analytic space X has Picard exponent \(\geq p\) if each m- dimensional vector space of global analytic functions contains at most \(m^ p\) functions (up to multiplicative constant) without zero on X. The author studies the class of analytic spaces with finite Picard exponent and some properties of analytic functions on these spaces.
Applications to algebraic hypersurfaces of \({\mathbb{C}}^ N\) are given.
Reviewer: G.Roos

MSC:
32H25 Picard-type theorems and generalizations for several complex variables
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References:
[1] Green, M.L.: Some Picard theorems for holomorphic maps to algebraic varieties. Am. J. Math.97, 47-75 (1975) · Zbl 0301.32022 · doi:10.2307/2373660
[2] Nevanlinna, R.: Le théorème de Picard-Borel et la théorie des fonctions méromorphs. New York: Chelsea 1974
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