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Projective structures with discrete holonomy representations
Authors:Hiroshige Shiga   Harumi Tanigawa
Affiliation:Department of Mathematics, Tokyo Institute of Technology, Tokyo 152 Japan ; Graduate School of Polymathematics, Nagoya University, Nagoya 464-01 Japan
Abstract:Let $K(X)$ denote the set of projective structures on a compact Riemann surface $X$ whose holonomy representations are discrete. We will show that each component of the interior of $K(X)$ is holomorphically equivalent to a complex submanifold of the product of Teichmüller spaces and the holonomy representation of every projective structure in the interior of $K(X)$ is a quasifuchsian group.

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