Hyperelliptic curves among cyclic coverings of the projective line, I
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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.
Mathematics Subject Classification (2010)
14H51 14H30Keywords
Hyperelliptic curve Cyclic Covering of the projective linePreview
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