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Derived equivalences of Calabi-Yau fibrations

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.

preprint2011arXivOpen access
Cristina Martinez RamirezAndrey Todorov
math.AG
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Open access2 authors1 topic
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Cristina Martinez RamirezAndrey Todorov

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