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Lower bounds for Clifford indices in rank three

Published online by Cambridge University Press:  08 October 2010

H. LANGE  and
P. E. NEWSTEAD
H. LANGE
Affiliation:
Department Mathematik, Universität Erlangen–Nürnberg, Bismarckstraße 1½, D-91054 Erlangen, Germany. e-mail: lange@mi.uni-erlangen.de
P. E. NEWSTEAD
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 7ZL. e-mail: newstead@liv.ac.uk
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Abstract

Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in previous papers by the authors. In this paper, we establish lower bounds for the Clifford indices for rank 3 bundles. As a consequence we show that, on smooth plane curves of degree at least 10, there exist non-generated bundles of rank 3 computing one of the Clifford indices.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 150 , Issue 1 , January 2011 , pp. 23 - 33
Copyright
Copyright © Cambridge Philosophical Society 2010

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References

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