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math.AG2026
Stable Degeneration, Non-degenerate Forms, and Kaledin's Conjecture
Chenyang Xu, Ziquan Zhuang, Henri Guenancia
We prove that stable degeneration, the canonical degeneration associated to the normalized volume minimizer of a Kawamata log terminal (klt) singularity, preserves non-degenerate r…
math.AG2026
Open problems in K-stability of Fano varieties
Chenyang Xu, Ziquan Zhuang
In this note, we discuss a number of open problems in K-stability theory.