ON AN EXAMPLE OF MUKAI

ON AN EXAMPLE OF MUKAI

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...

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Veröffentlicht in:Glasgow mathematical journal 2012-05, Vol.54 (2), p.261-271
Hauptverfasser: LANGE, H., MERCAT, V., NEWSTEAD, P. E.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Bundles
Construction
Geometry
Loci
Mathematical analysis
Mathematics
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Zusammenfassung: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.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089511000577