\(K\)-weight bounds for \(\gamma \)-hyperelliptic semigroups. (English) Zbl 07080912

Cotterill, Ethan; Martins, Renato Vidal

Semigroup Forum 99, No. 1, 198-203 (2019).

Summary: In this note, we show that \(\gamma \)-hyperelliptic numerical semigroups of genus \(g \gg \gamma \) satisfy a refinement of a well-known characteristic weight inequality due to Torres. The refinement arises from substituting the usual notion of weight by an alternative version, the \(K\)-weight, which we previously introduced in the course of our study of unibranch curve singularities.

MSC:

20M	Semigroups

Keywords:

curve singularity; value semigroup; differentials

References:

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