MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES

The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ^∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ^∨) forms a topological mirror pair, i.e., h^p,q(Y ) = h^3-p,q(Y ^∨) for all p, q.