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Divisorial complete curves

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Abstract.

There is a natural restriction on special divisors of a smooth projective curve C the Clifford index of C. In this paper we look for curves of Clifford index c on which all special divisors exist which are not prevented by c, and we construct two non-trivial examples for c = 4 and c = 5, respectively.

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Authors and Affiliations

  1. Katholieke Industriele Hogeschool der Kempen, Campus H.I. Kempen, Kleinhoefstraat 4, B-2440, Geel, Belgium

    Marc Coppens

  2. Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, D-91054, Erlangen, Germany

    Gerriet Martens

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  1. Marc Coppens
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  2. Gerriet Martens
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Correspondence to Marc Coppens.

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Received: 2 May 2005

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Coppens, M., Martens, G. Divisorial complete curves. Arch. Math. 86, 409–418 (2006). https://doi.org/10.1007/s00013-005-1581-x

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  • DOI: https://doi.org/10.1007/s00013-005-1581-x

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