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International Mathematics Research Notices
Article
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arXiv.org e-Print Archive
Preprint . 2008
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International Mathematics Research Notices
Article . 2009 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2008
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https://dx.doi.org/10.1093/imr...
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Article . 2009
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Foliations on Hypersurfaces in Holomorphic Symplectic Manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Jul 2009Embargo end date: 01 Jan 2008 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247, Copyright policy )
Authors: Sawon, J.;

doi: 10.1093/imrn/rnp099 , 10.48550/arxiv.0812.3939

arXiv: 0812.3939

handle: 21.11116/0000-0004-25DF-8

Foliations on Hypersurfaces in Holomorphic Symplectic Manifolds

Abstract

Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction $��|_Y$ of the holomorphic symplectic form induces a rank one foliation on Y. We investigate situations where this foliation has compact leaves; in such cases we obtain a space of leaves Y/F which has dimension 2n-2 and admits a holomorphic symplectic form.

43 pages, 3 figures

Related Organizations
Keywords

Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, 53C26, Differential Geometry (math.DG), FOS: Mathematics, Algebraic Geometry (math.AG)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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