On a relative Fourier-Mukai transform on genus one fibrations

dc.contributor.creator	Burban, Igor
dc.contributor.creator	Kreussler, Bernd
dc.date.accessioned	2013-05-14T15:49:26Z
dc.date.available	2013-05-14T15:49:26Z
dc.date.issued	2006
dc.description.abstract	We study relative Fourier-Mukai transforms on genus one fibrations with section, allowing explicitly the total space of the fibration to be singular and non-projective. Grothendieck duality is used to prove a skew-commutativity relation between this equivalence of categories and certain duality functors. We use our results to explicitly construct examples of semi-stable sheaves on degenerating families of elliptic curves.	en
dc.description.version	Yes	en
dc.identifier.citation	Burban, I. and Kreussler, B. (2006) ‘On a relative Fourier-Mukai transform on genus one fibrations’, manuscripta mathematica 120, 283-306.	en
dc.identifier.uri	http://hdl.handle.net/10395/1884
dc.language.iso	eng	en
dc.publisher	Springer	en
dc.relation.ispartofseries	Manuscripta Mathematica;120 283-306
dc.rights	Copyright © Springer, Manuscripta Mathematica. This Publication can be obtained at http://www.springer.com/mathematics/journal/229	en
dc.subject	Mathematics	en
dc.subject	Genus One Fibrations	en
dc.subject	Relative Fourier-Mukai transforms	en
dc.title	On a relative Fourier-Mukai transform on genus one fibrations	en
dc.type	Article	en
dc.type.restriction	none	en
dc.type.restriction	none	en
dc.type.supercollection	all_mic_research	en
dc.type.supercollection	mic_published_reviewed	en

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