Jacob Tsimerman

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math.AG2025

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…

math.AG2025

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 $A_{g}$ , the moduli space of complex principally polarized abelian varieties of dimension $g$ , and the maximal…

math.AG2024

Periods in Families and Derivatives of Period Maps

Ben Bakker, Jonathan Pila, Jacob Tsimerman

Given a smooth proper family $I ¨ : X \to S$ , we study the (quasi)-periods of the fibers of $I ¨ $ as (germs of) functions on $S$ . We show that they field they generate has the s…