%0 Journal Article %T A criterion for an abelian variety to be non-simple %A Robert Auffarth %A Herbert Lange %A Anita Rojas %J Mathematics %D 2015 %I arXiv %X We give a criterion in terms of period matrices for an arbitrary polarized abelian variety to be non-simple. Several examples are worked out. %U http://arxiv.org/abs/1507.08876v1