On K3 fibered Calabi-Yau 3-folds
  Given X a K3 surface, a mirror dual to X can be identified with a component of the moduli space of semistable sheaves on X. We consider fibrations by K3 surfaces over a one dimensional base that are Calabi-Yau and we obtain a dual fibration that turns to be derived equivalent to the original one and we relate the problem to mirror symmetry. 
Elena Andreini, Cristina Martinez and Andrey Todorov
math.AG math-ph math.MP