Arithmeticity of Four Hypergeometric Monodromy Groups Associated to Calabi–Yau Threefolds: Table 1.

2014

In [12], we show that three of the fourteen hypergeometric monodromy groups associated to Calabi-Yau threefolds are arithmetic. Brav-Thomas (in [3]) show that seven of the remaining eleven are thin. In this article, we settle the arithmeticity problem for the fourteen monodromy groups, by showing that, the remaining four are arithmetic.