Abelian fibred holomorphic symplectic manifolds
Algebraic Geometry
2009-04-03 v1
Abstract
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.
Cite
@article{arxiv.math/0404362,
title = {Abelian fibred holomorphic symplectic manifolds},
author = {Justin Sawon},
journal= {arXiv preprint arXiv:math/0404362},
year = {2009}
}
Comments
34 pages, for the Proceedings of the 9th Gokova Geometry-Topology Conference (2002), uses gokova.cls and goksty.tex