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 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, ...

Let A be an abelian variety and G a finite group of automorphisms of A fixing the origin such that A/G is smooth. The quotient A/G can be seen as a fibration over an abelian variety whose fibers are isomorphic to a product ...

The action of a finite group G on an abelian variety A induces a decomposition of A into factors related to the rational irreducible representations of G, the so called isotypical decomposition of A; when A = JZ is the ...

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 ...