36 citations · 82 across the 15 of their papers we have counts for
16 papers
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…
Existence of the Shafarevich morphism for semisimple local systems on quasi-projective varieties
Yohan Brunebarbe
Let X be a normal connected complex algebraic variety equipped with a semisimple complex representation of its fundamental group. Then, under a maximality assumption, we prove that…
The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension
Yohan Brunebarbe
We propose a generalization of the Green-Griffiths-Lang conjecture to the relative setting and prove that a strong form of it holds for families of varieties of maximal Albanese di…
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.
An algebraic approach to the hyperbolicity of moduli stacks of Calabi-Yau varieties
Yohan Brunebarbe
The moduli stacks of Calabi-Yau varieties are known to enjoy several hyperbolicity properties. The best results have so far been proven using sophisticated analytic tools such as c…
Counting integral points of bounded height on varieties with large fundamental group
Yohan Brunebarbe, Marco Maculan
The present note is devoted to an amendment to a recent paper of Ellenberg, Lawrence and Venkatesh. Roughly speaking, the main result here states the subpolynomial growth of the nu…