Abstract
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].
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