Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds

Details Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds Mirror Symmetry via 3-tori for a class of Calabi-Yau Threefolds

1996-08-02

arxiv.org/abs/alg-geom/9608004v3

Mathematics

Algebraic Geometry

30 pages, plain TeX, epsf.tex, amssym.tex, 3 figures. Final version

Scientific paper

We give an example of the recent proposed mirror construction of Strominger, Yau and Zaslow in ``Mirror Symmetry is T-duality,'' hep-th/9606040. The paper first considers mirror symmetry for K3 surfaces in light of this construction. We then consider the example of mirror symmetry for Calabi-Yau threefolds of the type considered by Voisin and Borcea, of the form SxE/involution where S is a K3 surface with involution, and E is an elliptic curve. We show how dualizing a family of special Lagrangian real 3-tori does actually produce the mirrors in these examples.

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