论文标题
Gieseker-Petri基因座的Codimension 2组件
A codimension 2 component of the Gieseker-Petri locus
论文作者
论文摘要
我们表明，Brill-Noether locus m^3_ {18,16}是在曲线模量空间中具有编纂2的Gieseker-petri基因座的不可还原成分。这一结果反驳了一个猜想，预测Gieseker-Petri基因座始终是分区。
We show that the Brill-Noether locus M^3_{18,16} is an irreducible component of the Gieseker-Petri locus in genus 18 having codimension 2 in the moduli space of curves. This result disproves a conjecture predicting that the Gieseker-Petri locus is always divisorial.
