We show that the K-moduli spaces of log Fano pairs, where C is a curve and their wall crossings coincide with the VGIT quotients of, complete intersection curves in. This, together with recent results by Laza and O'Grady, implies that these K-moduli spaces form a natural interpolation between the GIT moduli space of curves on and the Baily-Borel compactification of moduli of quartic hyperelliptic K3 surfaces.
|Original language||English (US)|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Accepted/In press - 2021|
- K3 surfaces
- variation of GIT
ASJC Scopus subject areas