On the classification of rank two representations of quasiprojective fundamental groups

Kevin Corlette, Carlos T. Simpson

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 $\rho$ fac…