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Weierstrass semigroups on double covers of plane curves of degree 5. (English) Zbl 1327.14159
Summary: We investigate Weierstrass semigroups of ramification points on double covers of plane curves of degree \(d\). Using the results we determine all the Weierstrass semigroups in the case \(d = 5\) when the genus of the covering curve is greater than 17 and the ramification point is on a non-ordinary flex.

MSC:
14H55 Riemann surfaces; Weierstrass points; gap sequences
14H30 Coverings of curves, fundamental group
20M14 Commutative semigroups
14H50 Plane and space curves
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