2 papers
math.AG2025
Hyperbolicity in presence of a large local system
Yohan Brunebarbe
We prove that the projective complex algebraic varieties admitting a large complex local system satisfy a strong version of the Green-Griffiths-Lang conjecture.
math.AG2024
The linear Shafarevich conjecture for quasiprojective varieties and algebraicity of Shafarevich morphisms
Benjamin Bakker, Yohan Brunebarbe, Jacob Tsimerman
We prove that the universal cover of a normal complex algebraic variety admitting a faithful complex representation of its fundamental group is an analytic Zariski open subset of a…