38 citations · 91 across the 25 of their papers we have counts for
30 papers
Deformations of fibered Calabi--Yau varieties
Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5
Kollár showed that small deformations of elliptically fibered smooth -torsion varieties with remain elliptically fibered. We extend this result to any f…
Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture
Benjamin Bakker
We survey recent advances in non-abelian Hodge theory in the "mixed" setting of non-proper algebraic varieties. We then describe how these tools are used to construct algebraic Sha…
Finiteness of function field-valued points on exceptional Shimura varieties
Benjamin Bakker, Ananth N. Shankar, Jacob Tsimerman
Let be a smooth curve over a finite field of characteristic . We prove that there are finitely many principally polarized abelian schemes of given dimension over …
-adic hyperbolicity for Shimura varieties and period images
Benjamin Bakker, Abhishek Oswal, Ananth N. Shankar +1
We prove that Shimura varieties and geometric period images satisfy a -adic extension property for large enough primes . More precisely, let $\mathsf{D}^{\times}\subset \math…
Baily--Borel compactifications of period images and the b-semiampleness conjecture
Benjamin Bakker, Stefano Filipazzi, Mirko Mauri +1
We address two questions related to the semiampleness of line bundles arising from Hodge theory. First, we prove there is a functorial compactification of the image of a period map…
CM points have everywhere good reduction
Benjamin Bakker, Jacob Tsimerman
We prove that for every Shimura variety , there is an integral model such that all CM points of have good reduction with respect to . In other wor…