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RESEARCH PRODUCT

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

Sandip Singh

subject

Pure mathematicsMonodromyGeneral MathematicsCalabi–Yau manifoldHypergeometric distributionMathematics

description

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.

https://doi.org/10.1093/imrn/rnu217