On the classification of rank two representations of quasiprojective fundamental groups

Details On the classification of rank two representations of quasiprojective fundamental groups On the classification of rank two representations of quasiprojective fundamental groups

2007-02-10

arxiv.org/abs/math/0702287v2

Mathematics

Algebraic Geometry

minor changes in exposition, citations

Scientific paper

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.

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