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arXiv · 1604.03252

Rank 3 rigid representations of projective fundamental groups

Adrian Langer·Carlos Simpson
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Abstract

Let X be a smooth complex projective variety with basepoint x. We prove that every rigid integral irreducible representation $\pi_1(X,x)\to SL (3,{\mathbb C})$ is of geometric origin, i.e., it comes from some family of smooth projective varieties. This partially generalizes an earlier result by K. Corlette and the second author in the rank 2 case and answers one of their questions.

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Adrian Langer, Carlos Simpson. 2016-04-12. Rank 3 rigid representations of projective fundamental groups. https://doi.org/10.1112/s0010437x18007182

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