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Clifford’s Theorem for graphs

  • Marc Coppens EMAIL logo
From the journal Advances in Geometry

Abstract

Let Γ be a metric graph of genus g and let r be an integer with 2 ≤ r ≤ g − 2 such that Γ has a linear system g2rr. Then Γ has a linear system g21. For algebraic curves this is part of Clifford’s well-known Theorem.

MSC 2010: 14T05; 05C99

Communicated by: K. Strambach


Acknowledgements

The author likes to thank the referees for their comments on the first draft of this paper and their suggestions to improve the paper.

Funding

The author was partially supported by the FWO-grant 1.5.012.13N.

References

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Received: 2014-6-3
Revised: 2015-8-7
Revised: 2016-1-22
Published Online: 2016-8-4
Published in Print: 2016-8-1

© 2016 by Walter de Gruyter Berlin/Boston

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