Derived equivalences of Calabi-Yau fibrations

Details Derived equivalences of Calabi-Yau fibrations Derived equivalences of Calabi-Yau fibrations

2009-01-05

arxiv.org/abs/0901.0509v5

Mathematics

Algebraic Geometry

21 pages

Scientific paper

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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