Lower bounds for Clifford indices in rank three

Details Lower bounds for Clifford indices in rank three Lower bounds for Clifford indices in rank three

2009-12-14

arxiv.org/abs/0912.2618v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in previous papers of the authors. In the present 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.

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