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Tagged with orbifolds riemann-surfaces
4 questions
4
votes
0
answers
181
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Is there an extension of Ogg's Moonshine results to surfaces of Genus 1
Per here the first hints of moonshine appeared around 1974 when Andrew Ogg noticed that quotienting the hyperbolic plane by normalizers of the Hecke Congruence subgroups $\Gamma_{0}(p)$ has genus zero ...
6
votes
1
answer
426
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When is a compact orbifold Riemann surface a global quotient of a Riemann surface
While reading the paper Seifert Fibred Homology 3-Spheres and the Yang-Mills Equations on Riemann Surfaces with Marked points by M. Furuta and B. Steer, I stumbled upon the following statement:
Any ...
4
votes
1
answer
384
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hyperbolic orbifolds of small area
Is there a list of 2-dimensional hyperbolic orbifolds obtained from reflection groups (such as the double of a hyperbolic triangle with angles $\pi/p$, etc.) of small area, for instance area smaller ...
5
votes
4
answers
1k
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Quotient Surface of A Hyperelliptic Involution
Let $X$ be a hyperelliptic Riemann surface, and let $J$ be the hyperelliptic involution. Then consider the quotient surface $X/ < J > ,$ my question is whether $X/ < J > $ is a Riemann ...