Deformations and Fourier-Mukai transforms

dc.creatorToda, Yukinobu
dc.date2005-02-28
dc.date2007-04-06
dc.date.accessioned2026-07-07T07:55:23Z
dc.date.available2026-07-07T07:55:23Z
dc.descriptionThe aim of this paper is twofold: First we give an explicit construction of the infinitesimal deformations of the category Coh(X) of coherent sheaves on a smooth projective variety X. Secondly we show that any Fourier-Mukai transform $/Phi/colon D^b(X)/to D^b(Y)$ extends to an equivalence between the derived categories of the deformed Abelian categories.
dc.descriptionTo appear in Journal of Differential Geometry
dc.identifierhttps://arxiv.org/abs/math/0502571
dc.identifierhttp://arxiv.org/abs/math/0502571
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126948
dc.subjectAlgebraic Geometry
dc.subject18E30 14A22 14B10 14E30
dc.titleDeformations and Fourier-Mukai transforms
dc.typetext

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