  Suppose $X$ is a smooth quasiprojective variety over $\cc$ and $\rho : \pi
_1(X,x) \to SL(2,\cc)$ is a Zariski-dense representation with quasiunipotent
monodromy at infinity. Then $\rho$ factors through a map $X\to Y$ with $Y$
either a DM-curve or a Shimura modular stack.
