an:07080912
Zbl 07080912
Cotterill, Ethan; Martins, Renato Vidal
\(K\)-weight bounds for \(\gamma \)-hyperelliptic semigroups
EN
Semigroup Forum 99, No. 1, 198-203 (2019).
00435566
2019
j
20M
curve singularity; value semigroup; differentials
Summary: In this note, we show that \(\gamma \)\textit{-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.