Projective Orbifolds and Dynamics in Dimension 2
Köbe’s retrosection theorem says that every compact Riemann surface is isomorphic to an orbit space Ω/Ґ, where Ω is an open set in the Riemann sphere S2 = PC and Ґ is a discrete subgroup of PSL(2,C) that leaves Ω invariant; in fact Γ is a Schottky group.
KeywordsDiscrete Subgroup Compact Riemann Surface Projective Structure Schottky Group Real Projective Space
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