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Projective structures on Riemann surfaces and Kleinian groups

Projective structures on Riemann surfaces and Kleinian groups

Let S be a compact Riemann surface of genus 2, and let iv: U--->S be a holomorphic universal covering of S with the covering transformation group F , where U is the upper half plane {z e C : 1m z>0}. T h en , is a finitely generated Fuchsian …