# ACM bundles on K3 surfaces of genus 2

Source: [ACM bundles on K3 surfaces of genus 2](<https://www.sota2.com/research/paper/68fa510e1e209131ce9705c6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T11:11:25.110Z

Authors: K. Watanabe

Published: 2014-07-07T13:19:09.000Z

## Abstract

Let $\\pi:X\\rightarrow \\mathbb{P}^2$ 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1407.1703>)

[PDF](<https://arxiv.org/pdf/1407.1703.pdf>)