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• W2111566134 abstract "The computation of the field of moduli of a closed Riemann surface seems to be a very difficult problem and even more difficult is to determine if the field of moduli is a field of definition. In this paper we consider the family of closed Riemann surfaces of genus five admitting a group of conformal automorphisms isomorphic to ${mathbb Z}_{2}^{4}$. These surfaces are non-hyperelliptic ones and turn out to be the highest branched abelian covers of the orbifolds of genus zero and five cone points of order two. We compute the field of moduli of these surfaces and we prove that they are fields of definition. This result is in contrast with the case of the highest branched abelian covers of the orbifolds of genus zero and six cone points of order two as there are cases for which the above property fails." @default.
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• W2111566134 date "2011-07-08" @default.
• W2111566134 modified "2023-10-16" @default.
• W2111566134 title "FIELDS OF MODULI OF CLASSICAL HUMBERT CURVES" @default.
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• W2111566134 doi "https://doi.org/10.1093/qmath/har017" @default.
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