4 papers
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…
Studying the divisibility of power LCM matrics by power GCD matrices on gcd-closed sets
Jianrong Zhao, Chenxu Wang, Yu Fu
Let be a gcd-closed set (i.e. for all ). In 2002, Hong proposed the divisibility problem of characterizing all gcd-closed s…
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…