The rigid limit in Special K\"ahler geometry for SU(2) SYM with a massive quark hypermultiplet

We study the rigid limit of type IIB string theory, compactified on a K3 fibration, which, near its conifold limit, contains the Seiberg-Witten curve for N=2 SU(2) Super-Yang-Mills with a massive hypermultiplet in the fundamental representation. Instead of working with an ALE approximation, we treat the K3 fibration globally. The periods we get in this way, allow for an embedding of the field theory into a supergravity model.