On an example of Mukai

Details On an example of Mukai On an example of Mukai

2010-03-21

arxiv.org/abs/1003.4007v4

Mathematics

Algebraic Geometry

Final version for publication in Glasgow Math. J.; 1 added reference

Scientific paper

In this note we use an example of Mukai to construct semistable bundles of
rank 3 with 6 independent sections on a 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.

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