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arXiv · 1705.08239

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

Kenta Watanabe
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Abstract

In this paper, we say that a rank 2 bundle splits if it is given by an extension of two line bundles. In the previous works, we gave a necessary condition for Lazarsfeld-Mukai bundles of rank 2 to split, under a numerical condition ([W2], Theorem 3.1). We gave the splitting types of them on a smooth quartic hypersurface in P3 ([W2], 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 [W2].

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Kenta Watanabe. 2017-05-10. On the splitting of Lazarsfeld-Mukai bundles on K3 surfaces II. https://arxiv.org/abs/1705.08239

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