小亏格的6-S曲线的Hurwitz空间的单合理性
The unirationality of Hurwitz spaces of 6-gonal curves of small genus
摘要：
本文用$5\leq g\leq 28$或$g=30,31,33,35,36,40,45$证明了亏格为$g$的6维曲线的Hurwitz空间的单合理性.关键成分是$\PP^1 \times \PP^2$中的联络结构。通过连续性，证明这种结构的优势减少到一个有限域上的单一曲线的计算。
英文摘要：
In this short note we prove the unirationality of Hurwitz spaces of 6-gonal curves of genus $g$ with $5\leq g\leq 28$ or $g=30,31,33,35,36,40,45$. Key ingredient is a liaison construction in $\PP^1 \times \PP^2$. By semicontinuity, the proof of the dominance of this construction is reduced to a computation of a single curve over a finite field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
