On a relative Fourier-Mukai transform on genus one fibrations

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dc.creatorBurban, Igor
dc.creatorKreussler, Bernd
dc.date2004-10-15
dc.date2005-06-14
dc.date.accessioned2026-07-07T05:13:18Z
dc.date.available2026-07-07T05:13:18Z
dc.descriptionWe 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.
dc.descriptionMajor revision, clearer notation, improved presentation, simplified proofs and new examples included; 27 pages
dc.identifierhttps://arxiv.org/abs/math/0410349
dc.identifierhttp://arxiv.org/abs/math/0410349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72896
dc.subjectAlgebraic Geometry
dc.subject18E30, 14H60, 14H20, 14J27, 14H10
dc.titleOn a relative Fourier-Mukai transform on genus one fibrations
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