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Universal Covering of Riemann Surface

Differential Geometry
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Tsakanikas Nickos
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Universal Covering of Riemann Surface

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Post by Tsakanikas Nickos » Wed Oct 05, 2016 11:43 pm

Let $X$ be a closed Riemann surface of genus $g \geq 2$. Show that the universal covering surface $\tilde{X}$ of $X$ is biholomorphic to the upper half-plane $\mathbb{H}$.
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