Lazarsfeld–Mukai Bundles and Applications

Marian Aprodu ()
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Marian Aprodu: Romanian Academy, Institute of Mathematics “Simion Stoilow”

A chapter in Commutative Algebra, 2013, pp 1-23 from Springer

Abstract: 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.

Keywords: Modulus Space; Vector Bundle; Line Bundle; Hilbert Scheme; Fano Manifold (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-5292-8_1

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DOI: 10.1007/978-1-4614-5292-8_1

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