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arXiv · 1103.2611

Abelian fibrations and SYZ mirror conjecture

Cristina Martínez Ramírez
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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.

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Cristina Martínez Ramírez. 2012-08-01. Abelian fibrations and SYZ mirror conjecture. https://arxiv.org/abs/1103.2611

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