1 citations · 1 across the 6 of their papers we have counts for
7 papers
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 …
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…
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…
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…
Integral canonical models of exceptional Shimura varieties
Benjamin Bakker, Ananth N Shankar, Jacob Tsimerman
We prove that Shimura varieties admit integral canonical models for sufficiently large primes. In the case of abelian-type Shimura varieties, this recovers work of Kisin-Kottwitz f…
Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
Samuel Grushevsky, Gabriele Mondello, Riccardo Salvati Manni +1
We determine the maximal dimension of compact subvarieties of , the moduli space of complex principally polarized abelian varieties of dimension , and the maximal…