To relate the SYZ and HMS conjectures, it is convenient to work in the semi-flat limit. The important geometric feature of a pair of Lagrangian torus fibrations X , X ^ ^ → → B which encodes mirror symmetry is the dual torus fibres of the fibration. Given a Lagrangian torus T ⊂ ⊂ X , the dual torus is given by the Jacobian variety of T , denoted T ^ ^ = J a c ( T ) . This is again a torus of the same dimension, and the duality is encoded in the fact that J a c ( J a c ( T ) ) = T so T and T ^ ^ are indeed dual under this construction. The Jacobian variety T ^ ^ has the important interpretation as the moduli space of line bundles on T .