On the classification of rank two representations of quasiprojective fundamental groups

Abstract : Suppose $X$ is a smooth quasiprojective variety over $\cc$ and $\rho : \pi _1(X,x) \rightarrow SL(2,\cc )$ is a Zariski-dense representation with quasiunipotent monodromy at infinity. Then $\rho$ factors through a map $X\rightarrow Y$ with $Y$ either a DM-curve or a Shimura modular stack.
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Submitted on : Tuesday, February 27, 2007 - 1:17:25 PM
Last modification on : Friday, January 12, 2018 - 1:51:31 AM
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Kevin Corlette, Carlos Simpson. On the classification of rank two representations of quasiprojective fundamental groups. 2007. ⟨hal-00130283v2⟩

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