论文标题
某些椭圆形K3表面的Urirational Moduli空间
Unirational moduli spaces of some elliptic K3 surfaces
论文作者
论文摘要
我们表明，$ u \ oplus \ langle -2K \ rangle $ colarlized k3表面的模量空间对于$ k \ le 50 $和$ k \ notin \ {11,35,42,42,42,48 \} $，而其他几个值的$ k $ to $ k $ to $ k $ for $ k = 97 $ = 97 $。我们的证明是基于对$ \ mathbb {p}^n $在$ 3 \ le n \ le 5 $中的椭圆形k3表面的投影模型的系统研究，其中包含两个理性曲线的结合或一个合理曲线的结合，或者既有椭圆曲线的结合。
We show that the moduli space of $U\oplus \langle -2k \rangle$-polarized K3 surfaces is unirational for $k \le 50$ and $k \notin \{11,35,42,48\}$, and for other several values of $k$ up to $k=97$. Our proof is based on a systematic study of the projective models of elliptic K3 surfaces in $\mathbb{P}^n$ for $3\le n \le 5$ containing either the union of two rational curves or the union of a rational and an elliptic curve intersecting at one point.
