Abstract
In this note, we prove a necessary and sufficient condition for whether a d-cyclic covering of the complex projective line has gonality 2 (i.e., is elliptic or hyperelliptic), where d is a positive integer. The case of 3 branch points has been solved in our previous paper (see [3]).
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Wangyu N., Kawasaki M., Sakai F.: Hyperelliptic curves among cyclic coverings of the projective line, I, Arch. Math. 101, 479–484 (2013)
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The second author is partially supported by Grants-in-Aid for Scientific Research (C) (No.23540041), JSPS.
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Wangyu, N., Sakai, F. Hyperelliptic curves among cyclic coverings of the projective line, II. Arch. Math. 102, 113–116 (2014). https://doi.org/10.1007/s00013-014-0609-5
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DOI: https://doi.org/10.1007/s00013-014-0609-5