Abelian fibred holomorphic symplectic manifolds
Abstract
Description
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.
34 pages, for the Proceedings of the 9th Gokova Geometry-Topology Conference (2002), uses gokova.cls and goksty.tex
34 pages, for the Proceedings of the 9th Gokova Geometry-Topology Conference (2002), uses gokova.cls and goksty.tex