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Numerical semigroups of genus eight and double coverings of curves of genus three

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Abstract

The authors determine all possible numerical semigroups at ramification points of double coverings of curves when the covered curve is of genus three and the covering curve is of genus eight. Moreover, it is shown that all of such numerical semigroups are actually of double covering type.

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Authors and Affiliations

  1. Academic Support Center, Kogakuin University, 2665-1 Nakano, Hachioji, Tokyo , 192-0015, Japan

    Takeshi Harui

  2. Department of Mathematics, Center for Basic Education and Integrated Learning, Kanagawa Institute of Technology, Atsugi, Kanagawa , 243-0292, Japan

    Jiryo Komeda

Authors
  1. Takeshi Harui
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  2. Jiryo Komeda
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Correspondence to Takeshi Harui.

Additional information

Communicated by Fernando Torres.

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Harui, T., Komeda, J. Numerical semigroups of genus eight and double coverings of curves of genus three. Semigroup Forum 89, 571–581 (2014). https://doi.org/10.1007/s00233-014-9590-3

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  • DOI: https://doi.org/10.1007/s00233-014-9590-3

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