Abelian fibred holomorphic symplectic manifolds

dc.creatorSawon, Justin
dc.date2004-04-20
dc.date.accessioned2026-07-07T12:59:43Z
dc.date.available2026-07-07T12:59:43Z
dc.descriptionWe 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.
dc.description34 pages, for the Proceedings of the 9th Gokova Geometry-Topology Conference (2002), uses gokova.cls and goksty.tex
dc.identifierhttps://arxiv.org/abs/math/0404362
dc.identifierhttp://arxiv.org/abs/math/0404362
dc.identifierTurkish J. Math. 27 (2003), no. 1, 197-230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225658
dc.subjectAlgebraic Geometry
dc.subject53C26; 14J28; 14J32
dc.titleAbelian fibred holomorphic symplectic manifolds
dc.typetext

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