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 (nu) ) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3 -dimensional cases, we show that ( Y, Y (nu) ) forms a topological mirror pair, i.e., h (p , q) ( Y ) = h (3 - p,q) ( Y (nu) ) for all p, q .