Communications in Number Theory and Physics
Volume 2 (2008)
On a class of non-simply connected Calabi–Yau 3-folds
Pages: 1 – 61
We obtain a detailed classification for a class of non-simply\breakconnected Calabi–Yau 3-folds which are of potential interest for awide range of problems in string phenomenology. These 3-folds arise asquotients of Schoen’s Calabi–Yau 3-folds, which are fiber productsover $\IP^1$ of two rational elliptic surfaces. The quotient is by afreely acting finite abelian group preserving the fibrations. Ourwork involves a classification of restricted finite automorphismgroups of rational elliptic surfaces.