ACM bundles on K3 surfaces of genus 2

Abstract

Let $\pi :X\to {\mathbb{P}}^2$ be a K3 surface of genus 2 and $L={\pi }^{\ast }{\mathcal{O}}_{{\mathbb{P}}^2}(3)$, and assume that ${\pi }^{\ast }{\mathcal{O}}_{{\mathbb{P}}^2}(1)$ 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.

24 pages, 1 figure

Cited by in corpus (1)

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