A detailed case study of the rigid limit in Special K\"ahler geometry   using K3
  This is a r\'esum\'e of an extensive investigation of some examples in which one obtains the rigid limit of N=2 supergravity by means of an expansion around singular points in the moduli space of a Calabi-Yau 3-fold. We make extensive use of the K3 fibration of the Calabi-Yau manifolds which are considered. At the end the fibration parameter becomes the coordinate of the Riemann surface whose moduli space realises rigid N=2 supersymmetry. 
Marco Billo, Frederik Denef, Pietro Fre, Igor Pesando, Walter Troost,   Antoine Van Proeyen and Daniela Zanon