论文标题
最大的Brill-Noether位点通过K3表面
Maximal Brill-Noether loci via K3 surfaces
论文作者
论文摘要
我们通过研究极化K3表面上的曲线上的线性系统在曲线的模量空间中区分曲线模量空间中的Brill-Noether基因座的策略，这激发了一个猜想，从而识别了最大的Brill-Noether-Noether基因座相对于控制。通过对Lazarsfeld-Mukai束的稳定性的分析，我们获得了等级3的线性系统的新提升结果，这足以证明9-19、22和23属中最大的Brill-Noether-Noether inthernether座位构想。
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studying the lifting of linear systems on curves in polarized K3 surfaces, which motivates a conjecture identifying the maximal Brill-Noether loci with respect to containment. Via an analysis of the stability of Lazarsfeld-Mukai bundles, we obtain new lifting results for linear systems of rank 3 which suffice to prove the maximal Brill-Noether loci conjecture in genus 9-19, 22, and 23.
