On K3 fibered Calabi-Yau 3-folds

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

Given X a K3 surface, a mirror dual to X can be identified with a component
of the moduli space of semistable sheaves on X. We consider fibrations by K3
surfaces over a one dimensional base that are Calabi-Yau and we obtain a dual
fibration that turns to be derived equivalent to the original one and we relate
the problem to mirror symmetry.

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