On reducible non-Weierstrass semigroups

Abstract

Weierstrass semigroups are well known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups. In addition, we provide methods for computing non-Weierstrass semigroups with genus as large as desired.

Keywords

• additive combinatorics
• buchweitz semigroup
• numerical semigroup
• pseudo-frobenius number
• weierstrass points
• weierstrass semigroup
• 14h55
• 11p70
• 20m14