Semi-positivity of logarithmic cotangent bundle and Shafarevich-Viehweg's conjecture, after Campana, Paun, Taji...

Benoît Claudon

Proven by A. Parshin and S. Arakelov in the early 70's, Shafaverich hyperbolicity conjecture states that a family of curves of genus $g\ge 2$ parametrized by a non hyperbolic curve…