Twisted Fourier-Mukai transforms for holomorphic symplectic fourfolds

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dc.creatorSawon, Justin
dc.date2005-09-09
dc.date.accessioned2026-07-07T12:59:44Z
dc.date.available2026-07-07T12:59:44Z
dc.descriptionWe apply the methods of C{ă}ld{ă}raru to construct a twisted Fourier-Mukai transform between a pair of holomorphic symplectic four-folds. More precisely, we obtain an equivalence between the derived category of coherent sheaves on a certain four-fold and the derived category of twisted sheaves on its `mirror' partner. As corollaries, we show that the two spaces are connected by a one-parameter family of deformations through Lagrangian fibrations, and we extend the original Fourier-Mukai transform to degenerations of abelian surfaces.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0509222
dc.identifierhttp://arxiv.org/abs/math/0509222
dc.identifierAdv. Math. 218 (2008), no. 3, 828-864
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225662
dc.subjectAlgebraic Geometry
dc.subject14J60; 14D06; 18E30; 53C26
dc.titleTwisted Fourier-Mukai transforms for holomorphic symplectic fourfolds
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