论文标题
k-Moduli曲线在二次表面和K3表面上
K-moduli of curves on a quadric surface and K3 surfaces
论文作者
论文摘要
我们表明，logo fano对的k-moduli空间$（\ mathbb {p}^1 \ times \ mathbb {p}^1，cc $，其中$ c $是$（4,4）$ - 曲线及其墙壁交叉及其墙壁交叉点，与vgit的vgit conciese cos cos vgit cos of $（2,4）$（2,4）$完整的Intersection curves $ nth $} $ { This, together with recent results by Laza-O'Grady, implies that these K-moduli spaces form a natural interpolation between the GIT moduli space of $(4,4)$-curves on $\mathbb{P}^1\times\mathbb{P}^1$ and the Baily-Borel compactification of moduli of quartic hyperelliptic K3 surfaces.
We show that the K-moduli spaces of log Fano pairs $(\mathbb{P}^1\times\mathbb{P}^1, cC)$ where $C$ is a $(4,4)$-curve and their wall crossings coincide with the VGIT quotients of $(2,4)$ complete intersection curves in $\mathbb{P}^3$. This, together with recent results by Laza-O'Grady, implies that these K-moduli spaces form a natural interpolation between the GIT moduli space of $(4,4)$-curves on $\mathbb{P}^1\times\mathbb{P}^1$ and the Baily-Borel compactification of moduli of quartic hyperelliptic K3 surfaces.
