monodromy at infinity
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scholarly journals On the classification of rank-two representations of quasiprojective fundamental groups

2008 ◽  
Vol 144 (5) ◽  
pp. 1271-1331 ◽  
Author(s):  
Kevin Corlette ◽  
Carlos Simpson
Keyword(s):  
Fundamental Groups ◽  
Monodromy At Infinity ◽  
Dense Representation

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

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