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- W126185957 abstract "We construct a special type of fundamental regions for any Fuchsian group $F$ generated by an even number of half-turns, and for certain non-Euclidean crystallographic groups (NEC groups in short). By comparing these regions we give geometrical conditions in order to $F$ be the canonical Fuchsian subgroup of one of those NEC groups. Precisely speaking, we deal with NEC groups of algebraic genus $0$ having all periods in the signature equal to $2$. By means of these conditions we give a characterization of hyperelliptic and symmetric Riemann surfaces." @default.
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- W126185957 date "2004-12-01" @default.
- W126185957 modified "2023-10-01" @default.
- W126185957 title "Fuchsian groups generated by half-turns and geometrical characterization of hyperelliptic and symmetric Riemann surfaces" @default.
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- W126185957 doi "https://doi.org/10.7146/math.scand.a-14457" @default.
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