Lazarsfeld-Mukai丛及其应用
代数几何
2013-11-19 v2
摘要
我们综述了Lazarsfeld-Mukai丛概念的发展及其各种应用，从Mukai流形的分类到Brill-Noether理论和K3截面的syzygies。为了展示这些技术的应用，我们给出了M. Reid关于椭圆铅笔存在性的一个简短证明。
引用
@article{arxiv.1205.4415,
title = {Lazarsfeld-Mukai bundles and applications},
author = {Marian Aprodu},
journal= {arXiv preprint arXiv:1205.4415},
year = {2013}
}
备注
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