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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…
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…
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…