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Space models of degree g+1 of curves of genus g

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Abstract

It is the aim of this note to determine all smooth curves of genus g admitting a birational space model of degree g + 1 whose plane sections define a complete linear series. And we add criteria when there is a smooth such model.

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Authors and Affiliations

  1. Katholieke Industriele Hogeschool der Kempen, Campus HI Kempen, Kleinhoefstraat 4, 2440, Geel, Belgium

    Marc Coppens

  2. Department of Mathematics, K. U. Leuven, Celestijnenlaan 200 B, 3001, Heverlee, Belgium

    Marc Coppens

  3. Department of Mathematics, Seoul National University, Seoul, 151-742, South Korea

    Changho Keem

  4. Department Mathematik, Universität Erlangen-Nürnberg, Cauerstr. 11, 91058, Erlangen, Germany

    Gerriet Martens

Authors
  1. Marc Coppens
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  2. Changho Keem
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  3. Gerriet Martens
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Correspondence to Gerriet Martens.

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Coppens, M., Keem, C. & Martens, G. Space models of degree g+1 of curves of genus g . manuscripta math. 140, 237–247 (2013). https://doi.org/10.1007/s00229-012-0539-0

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  • DOI: https://doi.org/10.1007/s00229-012-0539-0

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