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Spring 2013 On bundles of rank 3 computing Clifford indices
H. Lange, P. E. Newstead
Kyoto J. Math. 53(1): 25-54 (Spring 2013). DOI: 10.1215/21562261-1966062


Let C be a smooth irreducible projective algebraic curve defined over the complex numbers. The notion of the Clifford index of C was extended a few years ago to[4] semistable bundles of any rank. Recent work has been focused mainly on the rank-2 Clifford index, although interesting results have also been obtained for the case of rank 3. In this paper we extend this work, obtaining improved lower bounds for the rank-3 Clifford index. This allows the first computations of the rank-3 index in nontrivial cases and examples for which the rank-3 index is greater than the rank-2 index.


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H. Lange. P. E. Newstead. "On bundles of rank 3 computing Clifford indices." Kyoto J. Math. 53 (1) 25 - 54, Spring 2013.


Published: Spring 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1307.14052
MathSciNet: MR3049306
Digital Object Identifier: 10.1215/21562261-1966062

Primary: 14H60
Secondary: 14J28

Rights: Copyright © 2013 Kyoto University


Vol.53 • No. 1 • Spring 2013
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