Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

Abstract

In this paper we determine the generalized Weierstrass semigroup H(P ∞ , P 1 , . . . , P m ), and consequently the Weierstrass semigroup H(P ∞ , P 1 , . . . , P m ), at m + 1 points on the curves X a,b,n,s and Y n,s . These curves has been introduced in Tafazolian et al. [28] as new examples of curves which cannot be covered by the Hermitian curve.