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- W2799538045 abstract "The topological type of a non-compact Riemann surface is determined by its ends space and the ends having infinite genus. In this paper for a non-compact Riemann Surface $S_{m,s}$ with $s$ ends and exactly $m$ of them with infinite genus, such that $m,sin mathbb{N}$ and $1<mleq s$, we give a precise description of the infinite set of generators of a Fuchsian (geometric Schottky) group $Gamma_{m,s}$ such that the quotient space $mathbb{H}/ Gamma_{m, s}$ is homeomorphic to $S_{m,s}$ and has infinite area. For this construction, we exhibit a hyperbolic polygon with an infinite number of sides and give a collection of Mobius transformations identifying the sides in pairs." @default.
- W2799538045 created "2018-05-17" @default.
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- W2799538045 date "2018-05-11" @default.
- W2799538045 modified "2023-09-27" @default.
- W2799538045 title "Geometric Schotkky groups and non compact hyperbolic surface with infinite genus." @default.
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