Hyperelliptic curves among cyclic coverings of the projective line, I |
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| Authors: | Nan Wangyu Masumi Kawasaki Fumio Sakai |
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| Affiliation: | 1. Department of Mathematics, Graduate School of Science and Engineering, Saitama University, Sakura-ku, Saitama, 338-8570, Japan
2. Kaijo High School, Shinjuku-ku, Tokyo, 169-0072, Japan
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| Abstract: | In this note, we prove a necessary and sufficient condition for whether a d-cyclic covering of the complex projective line with 3 branch points has gonality 2 (i.e., is elliptic or hyperelliptic), where d is a positive integer. |
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