Stable Sheaves Over K3 Fibrations

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We 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.
21 pages latex, final version to be published in Internat. J. Math

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Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics, 14J60, 14J32, 81T30, 83E30

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http://salesiana.dossiersoluciones.com/handle/123456789/174828

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.2903
 http://arxiv.org/abs/0802.2903

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arXiv