An Ahlfors Islands Theorem for non-archimedean meromorphic functions

DOI10.1090/S0002-9947-08-04546-7zbMath1204.30035arXivmath/0407142MaRDI QIDQ3518194

Robert L. Benedetto

Publication date: 7 August 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407142

zbMATH Keywords

Berkovich spaces\(p\)-adic analysiscovering surfacesAhlfors theory

Mathematics Subject Classification ID

Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25)

Related Items (2)

Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps ⋮ -stability of expanding maps in non-Archimedean dynamics

Cites Work

• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• The ultrametric spectral theory
• A new proof of the Ahlfors five islands theorem
• Repulsive fixpoints of entire functions
• Non-Archimedian analytic functions taking the same values at the same points
• A note on $p$-adic Nevanlinna theory
• Sur les points périodiques des applications rationnelles en dynamique ultramétrique
• Components and Periodic Points in Non-Archimedean Dynamics
• Closure of Periodic Points Over a Non-Archimedean Field
• Nevanlinna theory on the p-adic plane
• A Heuristic Principle in Complex Function Theory
• Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem
• Non-Archimedean holomorphic maps and the Ahlfors islands theorem
• Sur les domaines couverts par les valeurs d'une fonction méromorphe ou algébroïde
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