K-moduli spaces of specific weighted hypersurfaces are described explicitly via wall-crossing on log Fano pairs, coinciding with GIT variation except for a divisorial contraction at the final wall, yielding new birational models for loci in marked hyperelliptic curve moduli.
One-dimensional components in the K-moduli of smooth Fano 3-folds
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Wall-crossing for K-moduli spaces of certain families of weighted projective hypersurfaces
K-moduli spaces of specific weighted hypersurfaces are described explicitly via wall-crossing on log Fano pairs, coinciding with GIT variation except for a divisorial contraction at the final wall, yielding new birational models for loci in marked hyperelliptic curve moduli.