On the splitting of Lazarsfeld–Mukai bundles on K3 surfaces II

In the previous works, we gave a necessary condition for Lazarsfeld–Mukai bundles of rank 2 on a K3 surface X to be given by an extension of two line bundles, under a numerical condition ([10], Theorem 3.1). Moreover, we have classified line bundles which appear in such an extension, in the case whe...

Full description

Saved in:
Bibliographic Details
Published in:Journal of algebra 2019-01, Vol.518, p.129-145
Main Author: Watanabe, Kenta
Format: Article
Language:English
Subjects:
ACM bundle
Lazarsfeld–Mukai bundle
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the previous works, we gave a necessary condition for Lazarsfeld–Mukai bundles of rank 2 on a K3 surface X to be given by an extension of two line bundles, under a numerical condition ([10], Theorem 3.1). Moreover, we have classified line bundles which appear in such an extension, in the case where X is a smooth quartic hypersurface in P3 ([10], Proposition 3.1) as a corollary of it. However, the assertion of it contains a few mistakes. In this paper, we correct them, and give an application of the results in [10].
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2018.09.042