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math.NT2024
Non-simple abelian varieties in a family: arithmetic approaches
Yu Fu
Inspired by the work of Ellenberg, Elsholtz, Hall, and Kowalski, we investigate how the property of the generic fiber of a one-parameter family of abelian varieties being geometric…
math.NT2024
Algebraic Independence of Special Points on Shimura Varieties
Yu Fu, Roy Zhao
Given a correspondence between a connected Shimura variety , a commutative connected algebraic group , and , we prove that the -images of any spe…
math.AG2024
Generalized Eckardt points on del Pezzo surfaces of degree 1
Julie Desjardins, Yu Fu, Kelly Isham +1
We study intersections of exceptional curves on del Pezzo surfaces of degree 1, motivated by questions in arithmetic geometry. Outside characteristics 2 and 3, at most 10 exception…