We show that the K-moduli spaces of log Fano pairs (P1 × P1, cC), where C is a (4,4) curve and their wall crossings coincide with the VGIT quotients of (2,4), complete intersection curves in P3. 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 (4,4) curves on P1 × P1 and the Baily-Borel compactification of moduli of quartic hyperelliptic K3 surfaces.
|Original language||English (US)|
|Number of pages||41|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Published - May 16 2023|
- K3 surfaces
- variation of GIT
ASJC Scopus subject areas