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\(\mathrm{K}\)-weight bounds for \(\gamma \)-hyperelliptic semigroups

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Abstract

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.

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Authors and Affiliations

  1. Instituto de Matemática, Universidade Federal Fluminense, Rua Prof Waldemar de Freitas, S/N, Campus do Gragoatá, CEP 24.210-201, Niterói, RJ, Brazil

    Ethan Cotterill

  2. Departamento de Matemática, ICEx, UFMG, Av. Antônio Carlos 6627, 30123-970, Belo Horizonte, MG, Brazil

    Renato Vidal Martins

Authors
  1. Ethan Cotterill
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  2. Renato Vidal Martins
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Correspondence to Ethan Cotterill.

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Communicated by Fernando Torres.

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Cotterill, E., Martins, R.V. \(\mathrm{K}\)-weight bounds for \(\gamma \)-hyperelliptic semigroups. Semigroup Forum 99, 198–203 (2019). https://doi.org/10.1007/s00233-019-10037-w

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  • DOI: https://doi.org/10.1007/s00233-019-10037-w

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