On a class of non-simply connected Calabi-Yau threefolds

Understand

We obtain a detailed classification for a class of non-simply connected Calabi-Yau threefolds which are of potential interest for a wide range of problems in string phenomenology.

• These threefolds arise as quotients of Schoen's Calabi-Yau threefolds, which are fiber products over P1 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.