English

Lazarsfeld-Mukai bundles and applications

Algebraic Geometry 2013-11-19 v2

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.

Keywords

Cite

@article{arxiv.1205.4415,
  title  = {Lazarsfeld-Mukai bundles and applications},
  author = {Marian Aprodu},
  journal= {arXiv preprint arXiv:1205.4415},
  year   = {2013}
}

Comments

updated presentation, updated references, small correction on page 6. I. Peeva (ed.), Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday, Springer Science+Business Media New York 2013