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arXiv · 1205.4415

Lazarsfeld-Mukai bundles and applications

Marian Aprodu
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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 $K3$ 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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Marian Aprodu. 2012-05-20. Lazarsfeld-Mukai bundles and applications. https://doi.org/10.1007/978-1-4614-5292-8_1

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