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arXiv · 1407.1703

ACM bundles on K3 surfaces of genus 2

K. Watanabe
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Abstract

Let $π:X\rightarrow \mathbb{P}^2$ be a K3 surface of genus 2 and $L=π^{\ast}\mathcal{O}_{\mathbb{P}^2}(3)$, and assume that $π^{\ast}\mathcal{O}_{\mathbb{P}^2}(1)$ 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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K. Watanabe. 2014-07-07. ACM bundles on K3 surfaces of genus 2. https://arxiv.org/abs/1407.1703

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