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arXiv · 1312.3063

Some monodromy groups of finite index in $Sp_4(\mathbb{Z})$

Jörg Hofmann·Duco van Straten
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Abstract

We determine the index of five of the $7$ hypergeometric Calabi-Yau operators that have finite index in $Sp_4(\mathbb{Z})$ and in two cases give a complete description of the monodromy group. Furthermore we found six non-hypergeometric Calabi-Yau operators with finite index in $Sp_4(\mathbb{Z})$, most notably a case where the index is one.

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Jörg Hofmann, Duco van Straten. 2013-12-11. Some monodromy groups of finite index in $Sp_4(\mathbb{Z})$. https://doi.org/10.1017/s1446788715000014

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