2 papers
math.NT2025
Finiteness of Heights in Isogeny Classes of Motives with Semistable Reduction
Alice Lin
Using integral -adic Hodge theory, Kato and Koshikawa define a generalization of the Faltings height of an abelian variety to motives defined over a number field. Assuming the a…
math.AG2025
Shafarevich's conjecture for families of hypersurfaces over function fields
Philip Engel, Alice Lin, Salim Tayou
Given a smooth quasi-projective complex algebraic variety , we prove that there are only finitely many Hodge-generic non-isotrivial families of smooth projective hyper…