2 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
The Ax-Schanuel conjecture for variations of Hodge structures
Benjamin Bakker, Jacob Tsimerman
We extend the Ax-Schanuel theorem recently proven for Shimura varieties by Mok-Pila-Tsimerman to all varieties supporting a pure polarized integral variation of Hodge structures. T…
The geometric torsion conjecture for abelian varieties with real multiplication
Benjamin Bakker, Jacob Tsimerman
The geometric torsion conjecture asserts that the torsion part of the Mordell--Weil group of a family of abelian varieties over a complex quasiprojective curve is uniformly bounded…