arXiv subjects

Jörg Hofmann

Publications and source records attributed to Jörg Hofmann.

2 recordsLinked to original sources

arXiv2013

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

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.

math.AG↗

arXiv2012

Uniformizing differential equations of arithmetic (1;e)-groups

We present a numerical method to compute accessory parameters of the uniformizing differential equations of elliptic curves associated to arithmetic Fuchsian $(1;e)$ groups. Up to $PSL_2(\bbr)$ conjugation there are only finitely many such groups and we give a complete list of the accessory parameters

math.CA↗