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math.AG2025
Finiteness of K-moduli compactifications under the boundedness of K-semistable degenerations
Chuyu Zhou
In this note, we prove the finite semi-algebraic chamber decomposition theorem for K-semi(poly)stability under the assumption of the log boundedness of K-semistable degenerations.…
math.AG2024
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…
math.AG2024
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…