The Weierstrass semigroups on double covers of genus two curves

We show that three numerical semigroups \langle 5, 6, 7, 8\rangle, \langle3, 7, 8\rangleand \langle 3, 5\rangleare of double covering type, i.e., the Weierstrass semigroups of ramification points on double covers of curves. Combining the result with [7] and [4] we can determine the Weierstrass semigroups of the ramification points on double covers of genus two...