The rational points on certain Abelian varieties over function fields
  In this paper, we consider Abelian varieties over function fields that arise
as twists of Abelian varieties by cyclic covers of irreducible quasi-projective
varieties. Then, in terms of Prym varieties associated to the cyclic covers, we
prove a structure theorem on their Mordell-Weil group. Our results give an
explicit method for construction of elliptic curves, hyper- and super-elliptic
Jacobians that have large ranks over function fields of certain varieties.
