Derived equivalences of Calabi-Yau fibrations

Abstract

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.

21 pages

References in corpus (3)

• Derived categories of coherent sheaves on abelian varieties and equivalences between them
• Mirror symmetry for abelian varieties
• Non-birational Calabi-Yau threefolds that are derived equivalent

Cited by in corpus (1)

• Abelian fibrations and SYZ mirror conjecture