4 papers
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 in . We show that the K-polystable limits of these weighted hypersurfaces are…
Non-proportional wall crossing for K-stability
Yuchen Liu, Chuyu Zhou
In this paper, we present a general wall crossing theory for K-stability and K-moduli of log Fano pairs whose boundary divisors can be non-proportional to the anti-canonical diviso…
K-moduli of Fano threefolds and genus four curves
Yuchen Liu, Junyan Zhao
In this article, we study the K-moduli space of Fano threefolds obtained by blowing up along -complete intersection curves. This K-moduli space is a two-step…
K-moduli with real coefficients
Yuchen Liu, Chuyu Zhou
In this paper, we develop an algebraic K-stability theory (e.g. special test configuration theory and optimal destabilization theory) for log Fano -pairs, and construct…