solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看3277次
Geometry of the moduli space of $n$-pointed K3 surfaces of genus 11. (arXiv:1705.05290v3 [math.AG] UPDATED)
来源于:arXiv
We prove that the moduli space of polarized $K3$ surfaces of genus eleven
with $n$ marked points is unirational when $n\leq 6$ and uniruled when
$n\leq7$. As a consequence, we settle a long standing but not proved assertion
about the unirationality of $\cal{M}_{11,n}$ for $n\leq6$. We also prove that
the moduli space of polarized $K3$ surfaces of genus eleven with $9$ marked
points has non-negative Kodaira dimension. 查看全文>>