Stability conditions and Calabi-Yau fibrations

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In this paper, we describe the spaces of stability conditions for the triangulated categories associated to three dimensional Calabi-Yau fibrations. We deal with two cases, the flat elliptic fibrations and smooth K3 (Abelian) fibrations. In the first case, we will see there exist chamber structures similar to those of the movable cone used in birational geometry. In the second case, we will compare the space with the space of stability conditions for the closed fiber of the fibration.
27pages

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Algebraic Geometry, 14J32, 14E30, 18E30

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http://salesiana.dossiersoluciones.com/handle/123456789/115487

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608495
 http://arxiv.org/abs/math/0608495

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arXiv