Corpus ID: 119655465

$K$-weight bounds for $\gamma$-hyperelliptic semigroups

@article{Cotterill2018KweightBF,
  title={\$K\$-weight bounds for \$\gamma\$-hyperelliptic semigroups},
  author={E. Cotterill and R. Martins},
  journal={arXiv: Combinatorics},
  year={2018}
}
  • E. Cotterill, R. Martins
  • Published 2018
  • Mathematics
  • arXiv: Combinatorics
  • In this note, we show that {\it $\gamma$-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. 

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