On a class of non-simply connected Calabi–Yau 3-folds

We obtain a detailed classification for a class of non-simply connected Calabi-Yau 3-folds which are of potential interest for a wide range of problems in string phenomenology. These 3-folds arise as quotients of Schoen's Calabi-Yau 3-folds, which are fiber products over P 1 of two rational elliptic surfaces. The quotient is by a freely acting finite abelian group preserving the fibrations. Our work involves a classification of restricted finite automorphism groups of rational elliptic surfaces.