Turkish Journal of Mathematics
DOI
-
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.
First Page
197
Last Page
230
Recommended Citation
SAWON, JUSTIN (2003) "Abelian fibred holomorphic symplectic manifolds," Turkish Journal of Mathematics: Vol. 27: No. 1, Article 11. Available at: https://journals.tubitak.gov.tr/math/vol27/iss1/11
