THE MONOMIAL DIVISOR MIRROR MAP FOR LANDAU-GINZBURG ORBIFOLDS

We present the new explicit geometrical knowledge of the Landau-Ginzburg orbifolds, when a typical type of superpotential is considered. Relying on toric geometry, we show the one-to-one correspondence between some of the (a, c) states with U(1) charges (-1, 1) and the (1, 1) forms coming from blowing-up processes. Consequently, we find the monomial divisor mirror map for Landau-Ginzburg orbifolds. The possibility of the application to the models of other types is briefly discussed.