5 papers · 1 filter
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…
Isogeny classes of non-simple abelian surfaces over finite fields
Yu Fu
Let be a principally polarized almost ordinary split abelian surface over a finite field . We give asymptotic upper and lower bounds on the numb…
Density of algebraic points on products of curves
Jennifer Berg, Yu Fu, Evangelia Gazaki +3
In this paper, we initiate the systematic study of density of algebraic points on surfaces. We give an effective asymptotic range in which the density degree set has regular behavi…
Towards a p-adic nowhere density conjecture of Hecke Orbits
Yu Fu
We propose a conjecture on the -adic nowhere density of the Hecke orbit of subvarieties of Hodge type Shimura varieties. By investigating the monodromy of -adic Galois repres…
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…