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math.DG2026
The sharp volume gap for Kähler manifolds with positive Ricci curvature
Chi Li, Minghao Miao, Kewei Zhang
We prove a sharp volume gap estimate: if an -dimensional compact Kähler manifold satisfies and , then $\mathrm{vol}…
math.AG2026
Stable Degenerations of log Fano Fibration Germs
Jiyuan Han, Minghao Miao, Lu Qi +2
We prove the stable degeneration conjecture of log Fano fibration germs formulated by Sun-Zhang. Precisely, we introduce the -invariant for filtrations over a log Fano…