Abelian fibrations and SYZ mirror conjecture

Details Abelian fibrations and SYZ mirror conjecture Abelian fibrations and SYZ mirror conjecture

2011-03-14

arxiv.org/abs/1103.2611v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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
derived equivalent.

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