On the classification of rank two representations of quasiprojective fundamental groups

2007/02/27 by Kevin Corlette, Carlos T. Simpson · 1 citation
Mathematics · #math.AG

paper · pdf · doi:10.1112/s0010437x08003618

minor changes in exposition, citations

arxiv created 2007/02/27 · arxiv updated 2014/01/14

Abstract

Suppose X is a smooth quasiprojective variety over \cc and ρ: π₁(X,x) → SL(2,\cc) 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.

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