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

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

Cited literature [85 references]

https://hal.archives-ouvertes.fr/hal-00130283
Contributor : Carlos Simpson <>
Submitted on : Tuesday, February 27, 2007 - 1:17:25 PM
Last modification on : Wednesday, October 14, 2020 - 4:23:47 AM
Long-term archiving on: : Tuesday, September 21, 2010 - 12:54:25 PM

### Files

r2.pdf
Files produced by the author(s)

### Citation

Kevin Corlette, Carlos Simpson. On the classification of rank two representations of quasiprojective fundamental groups. 2007. ⟨hal-00130283v2⟩

Record views