Can I read K-moduli of curves on a quadric surface and K3 surfaces on EtoBox?

K-moduli of curves on a quadric surface and K3 surfaces by Ascher, Kenneth; DeVleming, Kristin; Liu, Yuchen is a scholarly article available to read on EtoBox.

What is K-moduli of curves on a quadric surface and K3 surfaces about?

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.

Author

Ascher, Kenneth; DeVleming, Kristin; Liu, Yuchen

Published

2020

Language

EN