Mirror Symmetry of Calabi-Yau Manifolds and Flat Coordinates
arXiv:hep-th/9609163 · doi:10.1142/S0217751X97002644
Abstract
We study mirror symmetry of Calabi-Yau manifolds within the framework of the Gauss-Manin system. Applying the flat coordinates to the Gauss-Manin system for the periods, we derive differential equations for the mirror map in addition to the ordinary Picard-Fuchs equations for the periods. These equations are obtained for a class of one-parameter models and a two-parameter model of Fermat type Calabi-Yau manifolds.
27 pages, LaTeX, no figures