We produce examples of stability conditions on the bounded derived category of coherent sheaves of any abelian threefold. This extends (with a completely different proof) results of Maciocia-Piyaratne for abelian threefolds. As a consequence we provide the first examples of stability conditions for smooth projective Calabi-Yau manifold answering a long standing question. This is a joint work with A. Bayer and E. Macri'. |