On the classification of rank two representations of quasiprojective fundamental groups

Kevin Corlette; Carlos T. Simpson

doi:10.1112/s0010437x08003618

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On the classification of rank two representations of quasiprojective fundamental groups

Kevin Corlette·Carlos T. Simpson

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Abstract

Suppose $X$ is a smooth quasiprojective variety over $\cc$ and $ρ: π_1(X,x) \to SL(2,\cc)$ is a Zariski-dense representation with quasiunipotent monodromy at infinity. Then $ρ$ factors through a map $X\to Y$ with $Y$ either a DM-curve or a Shimura modular stack.

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Kevin Corlette, Carlos T. Simpson. 2007-02-27. On the classification of rank two representations of quasiprojective fundamental groups. https://doi.org/10.1112/s0010437x08003618

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