Abstract
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 K 3 K3 (Abelian) fibrations. In the first case, we will see that 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.
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