On the classification of rank two representations of quasiprojective fundamental groups

الأصل · EN

Suppose X is a smooth quasiprojective variety over and ρ: π₁(X,x) → SL(2,) is a Zariski-dense representation with quasiunipotent monodromy at infinity. Then ρ factors through a map X→ Y with Y either a DM-curve or a Shimura modular stack.