ACM bundles on K3 surfaces of genus 2

2014/07/07 by Watanabe, K.
#14F05 #14F43 #14J28 #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.1703

Abstract

Let π:X→ ℙ² be a K3 surface of genus 2 and L=π^∗O_ℙ²(3), and assume that π^∗O_ℙ²(1) is ample as a line bundle on X. In this paper, we give a numerical characterization of initialized and ACM line bundles on X with respect to L and construct families of semistable indecomposable ACM bundles of higher rank, by using extensions of ACM line bundles.

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