Example 7.7 . [02ZY]
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Example 7.7.
Consider the polytope of Example 3.2. The dual polytope is the convex hull of the points . The corresponding projective toric variety has a crepant resolution where is the fan consisting of cones over all elements of the decomposition of as described in Example 3.2. Consider in the degenerating family of Calabi-Yau manifolds given by
where is the section of corresponding to . Let be the proper transform of in . Then the family is a toric degeneration with general fibre the mirror quintic, and its dual intersection complex is the affine manifold constructed in Example 3.2.