Geometry and Arithmetic

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pp: 267–281

DOI: 10.4171/119-1/16

Bundles of rank 2 with small Clifford index on algebraic curves

H. Lange and Peter E. Newstead[1]

(1) University of Liverpool, UK

In this paper, we construct stable bundles $E$ of rank 2 on suitably chosen curves of any genus $g\ge12$ with maximal Clifford index such that the Clifford index of $E$ takes the minimum possible value for curves with this property.

Keywords: Algebraic curve, stable vector bundle, Clifford index, K3 surface