On fundamental groups of algebraic varieties and value distribution theory
Katsutoshi Yamanoi · Annales de l’institut Fourier · 2010
If a smooth projective variety X admits a non-degenerate holomorphic map ℂ → 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.