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math.AG2023
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…
math.AG2023
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…