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- W1891683133 abstract "We consider a log-Riemann surface $mathcal{S}$ with a finite number of ramification points and finitely generated fundamental group. The log-Riemann surface is equipped with a local holomorphic difffeomorphism $pi : mathcal{S} to C$. We prove that $mathcal{S}$ is biholomorphic to a compact Riemann surface with finitely many punctures $S$, and the pull-back of the 1-form $dpi$ under the biholomorphic map $phi : S to mathcal{S}$ is a 1-form $omega = phi^* dpi$ with isolated singularities at the punctures of exponential type, i.e. near each puncture $p$, $omega = e^h cdot omega_0$ where $h$ is a function meromorphic near $p$ and $omega_0$ a 1-form meromorphic near $p$." @default.
- W1891683133 created "2016-06-24" @default.
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- W1891683133 date "2013-05-10" @default.
- W1891683133 modified "2023-09-27" @default.
- W1891683133 title "Uniformization of higher genus finite type log-Riemann surfaces" @default.
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