Stable Sheaves Over K3 Fibrations

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dc.creatorAndreas, Bjorn
dc.creatorRuiperez, Daniel Hernandez
dc.creatorGomez, Dario Sanchez
dc.date2008-02-20
dc.date2008-11-25
dc.date.accessioned2026-07-07T10:20:23Z
dc.date.available2026-07-07T10:20:23Z
dc.descriptionWe construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which describes the sheaves in terms of spectral data similar to the construction for elliptic fibrations. On K3 fibered Calabi-Yau threefolds we show that the Fourier-Mukai transform induces an embedding ion of the relative Jacobian of spectral line bundles on spectral covers into the moduli space of sheaves of given invariants. This makes the moduli space of spectral sheaves to a generic torus fibration over the moduli space of curves of given arithmetic genus on the Calabi-Yau manifold.
dc.description21 pages latex, final version to be published in Internat. J. Math
dc.identifierhttps://arxiv.org/abs/0802.2903
dc.identifierhttp://arxiv.org/abs/0802.2903
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174828
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject14J60, 14J32, 81T30, 83E30
dc.titleStable Sheaves Over K3 Fibrations
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