Lower bounds for Clifford indices in rank three

Lower bounds for Clifford indices in rank three

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 lea...

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2011-01, Vol.150 (1), p.23-33
Hauptverfasser: LANGE, H., NEWSTEAD, P. E.
Format: Artikel
Sprache:eng
Schlagworte:
Bundles
Computation
Geometry
Indexes
Lower bounds
Mathematical analysis
Mathematical models
Mathematics
Planes
Vector space
Vectors (mathematics)
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Zusammenfassung: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004110000502