  We study holomorphic symplectic manifolds which are fibred by abelian
varieties. This structure is a higher dimensional analogue of an elliptic
fibration on a K3 surface. We investigate when a holomorphic symplectic
manifold is fibred in this way, and are led to several natural conjectures. We
then study the geometry of these fibrations. The expectation is that this point
of view will prove useful in understanding holomorphic symplectic manifolds,
and possibly lead to a classification.
