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arXiv · 2005.09208

Lazarsfeld-Mukai bundles on K3 surfaces associated to a pencil computing Clifford index

Sarbeswar Pal
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Abstract

Let $X$ be a smooth projective K3 surface over complex numbers and $C$ be an ample curve on $X$. In this paper we will study the semistability of the Lazarsfeld-Mukai bundle $E_{C, A}$ associated to a line bundle $A$ ion $C$ such that $|A|$ is a pencil on $C$ and computes the Clifford index of $C$. We give a necessary and sufficient condition for $E_{C, A}$ being semistable.

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Sarbeswar Pal. 2020-05-19. Lazarsfeld-Mukai bundles on K3 surfaces associated to a pencil computing Clifford index. https://doi.org/10.1556/012.2022.01518

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