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On the Ahlfors theory of surfaces

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Publication:2349113
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DOI10.4171/LEM/60-3/4-8zbMATH Open1317.30007arXiv1311.1589OpenAlexW2964213505MaRDI QIDQ2349113

Julien Duval

Publication date: 17 June 2015

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Abstract: We revisit Ahlfors theory of covering surfaces thanks to Stokes theorem.


Full work available at URL: https://arxiv.org/abs/1311.1589



zbMATH Keywords

value distribution theoryRiemann-Hurwitz formulacovering surfaces


Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Covering theorems in conformal mapping theory (30C25)



Related Items (3)

A proof of the Ahlfors surface covering theorem ⋮ On the semidiscrete differential geometry of A-surfaces and K-surfaces ⋮ On Bloch's ``Principle of topological continuity






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