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Generation of vector bundles computing Clifford indices

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Abstract

Clifford indices for semistable vector bundles on a smooth projective curve of genus at least four were defined in a previous paper of the authors. The present paper studies bundles which compute these Clifford indices. We show that under certain conditions on the curve all such bundles and their Serre duals are generated.

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Authors and Affiliations

  1. Department Mathematik, Universität Erlangen-Nürnberg, Bismarckstraße 1 1/2, 91054, Erlangen, Germany

    H. Lange

  2. Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool, L69 7ZL, UK

    P. E. Newstead

Authors
  1. H. Lange
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  2. P. E. Newstead
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Corresponding author

Correspondence to H. Lange.

Additional information

Both authors are members of the research group VBAC (Vector Bundles on Algebraic Curves). The second author would like to thank the Department Mathematik der Universität Erlangen-Nürnberg for its hospitality.

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Lange, H., Newstead, P.E. Generation of vector bundles computing Clifford indices. Arch. Math. 94, 529–537 (2010). https://doi.org/10.1007/s00013-010-0126-0

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  • DOI: https://doi.org/10.1007/s00013-010-0126-0

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