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Double coverings of hyperelliptic real algebraic curves. (English) Zbl 1140.14025

The authors consider (branched) coverings of degree two between closed Riemann surfaces, say \(\pi:X \to Y\), where \(X\) is assumed to be hyperelliptic and both \(X\) and \(Y\) admit an anticonformal involution. A complete description in algebraic terms is given for all possible such branched coverings.

MSC:

14H30 Coverings of curves, fundamental group
30F50 Klein surfaces
Full Text: DOI

References:

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