2 citations · 4 across the 6 of their papers we have counts for
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Periods in Families and Derivatives of Period Maps
Ben Bakker, Jonathan Pila, Jacob Tsimerman
Given a smooth proper family , we study the (quasi)-periods of the fibers of as (germs of) functions on . We show that they field they generate has the sam…
A short proof of a conjecture of Matsushita
Benjamin Bakker
In this note we build on the arguments of van Geemen and Voisin to prove a conjecture of Matsushita that a Lagrangian fibration of an irreducible hyperkähler manifold is either iso…
Definable structures on flat bundles
Benjamin Bakker, Scott Mullane
A flat vector bundle on an algebraic variety supports two natural definable structures given by the flat and algebraic coordinates. In this note we show these two structures coinci…
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…