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arxiv: 0901.0509 · v5 · pith:MZRS7DRCnew · submitted 2009-01-05 · 🧮 math.AG

Derived equivalences of Calabi-Yau fibrations

classification 🧮 math.AG
keywords fibrationscalabi-yauderivedsurfacesabelianbaseconsiderdimensional
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We consider fibrations by abelian surfaces and K3 surfaces over a one dimensional base that are Calabi-Yau and we obtain dual fibrations that are derived equivalent to the original fibration. Finally, we relate the problem to mirror symmetry.

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