Abelian fibrations and SYZ mirror conjecture

Abstract

SYZ mirror conjecture predicts that a Calabi-Yau manifold $X$ consists of a family of tori which are dual to a family of special lagrangian tori on the mirror dual manifold $\hat{X}$. Here we consider a fibration of polarized abelian varieties and we construct a dual one. Moreover we prove that they are equivalent at the level of derived categories.

C. R. Acad. Sci. Paris. Ser. I (2012), to appear

References in corpus (1)

• Derived equivalences of Calabi-Yau fibrations