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SOME MONODROMY GROUPS OF FINITE INDEX IN $\mathit{Sp}_{4}(\mathbb{Z})$

Published online by Cambridge University Press:  30 March 2015

JÖRG HOFMANN
Affiliation:
Institut für Mathematik, Johannes Gutenberg University, 55099 Mainz, Germany email hofmann_joerg@gmx.net
DUCO VAN STRATEN*
Affiliation:
Institut für Mathematik, Johannes Gutenberg University, 55099 Mainz, Germany email straten@mathematik.uni-mainz.de
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Abstract

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We determine the index of five of the seven hypergeometric Calabi–Yau operators that have finite index in $\mathit{Sp}_{4}(\mathbb{Z})$ and in two cases give a complete description of the monodromy group. Furthermore, we find six nonhypergeometric Calabi–Yau operators with finite index in $\mathit{Sp}_{4}(\mathbb{Z})$, most notably a case where the index is one.

Type
Research Article
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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