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

2021/12/15 by Montanucci, M., Tizziotti, G. · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.08137

Abstract

In this paper we determine the generalized Weierstrass semigroup \widehatH(P_∞, P₁, … , P_m), and consequently the Weierstrass semigroup H(P_∞, P₁, … , 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. as new examples of curves which cannot be covered by the Hermitian curve.

Cited by

• Non-isomorphic subfields of the BM and GGS maximal function fields

Related

• On Weierstrass semigroup at m points on curves of the type f(y) = g(x)
• Weierstrass semigroups at every point of the Suzuki curve
• Weierstrass semigroup and Automorphism group of the curves X_n,r
• Triples of rational points on the Hermitian curve and their Weierstrass semigroups
• Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables