For any n > 2 we study the group algebra decomposition of an ([n/2] + 1)- dimensional family of principally polarized abelian varieties of dimension n with an action of the dihedral group of order 2n. For any odd prime p, ...

To every abelian subvariety of a principally polarized abelian variety (A,L) we canonically associate a numerical class in the Néron–Severi group of A.We prove that these classes are characterized by their intersection ...

For each n greater than or equal to two, we give a family of n-dimensional, irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves. This family corresponds to the modular curve X-0(n + 1).

We construct families of principally polarized abelian varieties whose theta divisor is irreducible and contains an abelian subvariety. These families are used to construct examples when the Gauss map of the theta divisor ...

Let G be a finite group. For each integral representation rho of G we consider rho-decomposable principally polarized abelian varieties; that is, principally polarized abelian varieties (X, H) with rho(G)-action, of dimension ...

We obtain a characterization of theta functions of Jacobian varieties of curves with automorphisms among theta functions of principally polarized abelian varieties (p p a v) We first give a characterization m terms of ...