An Ahlfors Islands Theorem for non-archimedean meromorphic functions

Benedetto, Robert

doi:10.1090/S0002-9947-08-04546-7

An Ahlfors Islands Theorem for non-archimedean meromorphic functions
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by Robert L. Benedetto PDF

Trans. Amer. Math. Soc. 360 (2008), 4099-4124 Request permission

Abstract:

We present a $p$-adic and non-archimedean version of Ahlfors’ Five Islands Theorem for meromorphic functions, extending an earlier theorem of the author for holomorphic functions. In the non-archimedean setting, the theorem requires only four islands, with explicit constants. We present examples to show that the constants are sharp and that other hypotheses of the theorem cannot be removed.

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An Ahlfors Islands Theorem for non-archimedean meromorphic functions
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Abstract: