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- W2949120671 abstract "The universal cover or the covering group of a hyperbolic Riemann surface $X$ is important but hard to express explicitly. It can be, however, detected by the uniformisation and a suitable description of $X$. Beardon proposed five different ways to describe twice-punctured disks using fundamental domain, hyperbolic length, collar and extremal length in 2012. We parameterize a once-punctured annulus $A$ in terms of five parameter pairs and give explicit formulas about the hyperbolic structure and the complex structure of $A$. Several degenerating cases are also treated." @default.
- W2949120671 created "2019-06-27" @default.
- W2949120671 creator A5066632707 @default.
- W2949120671 date "2014-01-30" @default.
- W2949120671 modified "2023-10-17" @default.
- W2949120671 title "Uniformisation of a once-punctured annulus" @default.
- W2949120671 cites W1502669108 @default.
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- W2949120671 doi "https://doi.org/10.48550/arxiv.1401.7786" @default.
- W2949120671 hasPublicationYear "2014" @default.
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