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

By K. Corlette, Carlos Simpson. Compositio Mathematica, 2007

76 citations recorded by the source corpus.

Abstract Suppose 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/110ec0a5496cb0e86c77ea0b9cda77f4a432e1a5

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In Geometry and Topology

1. J. Cogolludo-Agustín
2. Daniel Matei
3. Enrique Artal Bartolo

In Mathematical Physics

1. J. Cogolludo-Agustín
2. Daniel Matei
3. Enrique Artal Bartolo

Citations in the corpus

• Characteristic varieties of quasi-projective manifolds and orbifolds (2010, methodology): “Orbifolds have also been used for the study of fundamental groups of smooth algebraic varieties in recent works by Corlette-Simpson [21] and Campana [12, 14].”