Lazarsfeld-Mukai bundles and applications

preprint2013arXivOpen access

Abstract

We survey the development of the notion of Lazarsfeld-Mukai bundles together with various applications, from the classification of Mukai manifolds to Brill-Noether theory and syzygies of K3K3 sections. To see these techniques at work, we present a short proof of a result of M. Reid on the existence of elliptic pencils.

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