Wall-crossing for K-moduli spaces of certain families of weighted projective hypersurfaces

In-Kyun Kim, Yuchen Liu, Chengxi Wang

We describe the K-moduli spaces of weighted hypersurfaces of degree $2(n+3)$ in $\mathbb{P}(1,2,n+2,n+3)$. We show that the K-polystable limits of these weighted hypersurfaces are…