Lazarsfeld-Mukai bundles and applications

Published 20 May 2012 in math.AG | (1205.4415v2)

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

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