15 citations · 34 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
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…
Semi-positivity from Higgs bundles
Yohan Brunebarbe
We prove a generalization of the Fujita-Kawamata-Zuo semi-positivity Theorem for filtered regular meromorphic Higgs bundles and tame harmonic bundles. Our approach gives a new proo…