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ON AN EXAMPLE OF MUKAI

Published online by Cambridge University Press:  12 December 2011

H. LANGE ,
V. MERCAT  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
V. MERCAT
Affiliation:
5 rue Delouvain, 75019 Paris, France e-mail: vipani.mm@gmail.com
P. E. NEWSTEAD
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 7ZL, UK e-mail: newstead@liv.ac.uk
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Abstract

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In this paper we use an example of Mukai to construct semistable bundles of rank 3 with six independent sections on a general curve of genus 9 or 11 with Clifford index strictly less than the Clifford index of the curve. The example also allows us to show the non-emptiness of some Brill–Noether loci with negative expected dimension.

Keywords

Primary 14H60
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 2 , May 2012 , pp. 261 - 271
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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