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Rank 3 rigid representations of projective fundamental groups

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 نشر من قبل Adrian Langer
 تاريخ النشر 2016
  مجال البحث
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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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