36 citations · 82 across the 15 of their papers we have counts for
4 papers · 1 filter
Increasing hyperbolicity of varieties supporting a variation of Hodge structures with level structures
Yohan Brunebarbe
Looking at the finite étale congruence covers of a complex algebraic variety equipped with a variation of integral polarized Hodge structures whose period map is quasi-f…
Arakelov-Nevanlinna inequalities for variations of Hodge structures and applications
Damian Brotbek, Yohan Brunebarbe
We prove a Second Main Theorem type inequality for any log-smooth projective pair such that supports a complex polarized variation of Hodge structures. This…
Quasiprojectivity of images of mixed period maps
Benjamin Bakker, Yohan Brunebarbe, Jacob Tsimerman
We prove a mixed version of a conjecture of Griffiths: that the closure of the image of any admissible mixed period map is quasiprojective, with a natural ample bundle. Specificall…
Definability of mixed period maps
Benjamin Bakker, Yohan Brunebarbe, Bruno Klingler +1
We equip integral graded-polarized mixed period spaces with a natural -definable analytic structure, and prove that any period map associated to an admissible var…