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$$K$$-weight bounds for $$\gamma$$-hyperelliptic semigroups. (English) Zbl 07080912
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
Full Text:
##### References:
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