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On Weierstrass semigroups of double coverings of hyperelliptic curves

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Abstract

We study double coverings of hyperelliptic curves and prove that certain families of \(\gamma \)-hyperelliptic numerical semigroups can be realized as Weierstrass semigroups.

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Acknowledgments

We thank the referee who carefully read this article. His suggestions helped to eliminate several mistakes and to clarify some obscure points on our exposition.

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Authors and Affiliations

  1. Departamento de Matemática - CCE - UFES, Campus de Goiabeiras, Vitória, ES, CEP 29075-910, Brazil

    Gilvan Oliveira

  2. Departamento de Matemática - CC - UFC, Bloco 914, Campus do Pici, Fortaleza, CE, CEP 60455-750, Brazil

    Francisco L. R. Pimentel

Authors
  1. Gilvan Oliveira
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  2. Francisco L. R. Pimentel
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Correspondence to Gilvan Oliveira.

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Communicated by Fernando Torres.

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Oliveira, G., Pimentel, F.L.R. On Weierstrass semigroups of double coverings of hyperelliptic curves. Semigroup Forum 90, 721–730 (2015). https://doi.org/10.1007/s00233-014-9684-y

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  • DOI: https://doi.org/10.1007/s00233-014-9684-y

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