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

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

2007-04-24

arxiv.org/abs/0704.3096v3

Comm. Numb. Theor. Phys. 2 (2008) 1-61

Mathematics

Algebraic Geometry

50 pages; v3: version published in CNTP

Scientific paper

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.

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