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On fundamental groups of algebraic varieties and value distribution theory

Katsutoshi Yamanoi — 2010

Annales de l’institut Fourier

If a smooth projective variety $X$ admits a non-degenerate holomorphic map $ℂ \to X$ from the complex plane $ℂ$ , then for any finite dimensional linear representation of the fundamental group of $X$ the image of this representation is almost abelian. This supports a conjecture proposed by F. Campana, published in this journal in 2004.

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