Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 53, Number 1 (2013), 25-54.
On bundles of rank computing Clifford indices
Let be a smooth irreducible projective algebraic curve defined over the complex numbers. The notion of the Clifford index of was extended a few years ago to semistable bundles of any rank. Recent work has been focused mainly on the rank- Clifford index, although interesting results have also been obtained for the case of rank . In this paper we extend this work, obtaining improved lower bounds for the rank- Clifford index. This allows the first computations of the rank- index in nontrivial cases and examples for which the rank- index is greater than the rank- index.
Kyoto J. Math., Volume 53, Number 1 (2013), 25-54.
First available in Project Euclid: 25 March 2013
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14H60: Vector bundles on curves and their moduli [See also 14D20, 14F05]
Secondary: 14J28: $K3$ surfaces and Enriques surfaces
Lange, H.; Newstead, P. E. On bundles of rank $3$ computing Clifford indices. Kyoto J. Math. 53 (2013), no. 1, 25--54. doi:10.1215/21562261-1966062. https://projecteuclid.org/euclid.kjm/1364218040