Weierstrass semigroups on double covers of plane curves of degree 5

抄録

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.