Minghao Miao

collaborators

4 papers

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 $n$ -dimensional compact Kähler manifold $(X, ω)$ satisfies $Ric (ω) \geq (n + 1) ω$ and $X \neq ≅ P^{n}$ , then $\mathrm{vol}…

math.AG2026

On the volume of K-semistable Fano manifolds

Chi Li, Minghao Miao

We prove that the anti-canonical volume of an $n$ -dimensional K-semistable Fano manifold that is not $P^{n}$ is at most $2 n^{n}$ . Moreover, the volume is equal to $2 n^{n}$ if an…

math.AG2026

Optimal Degenerations of K-unstable Fano threefolds

Minghao Miao, Linsheng Wang

We explicitly determine the optimal degenerations of Fano threefolds $X$ in family No 2.23 of Mori-Mukai's list as predicted by the Hamilton-Tian conjecture. More precisely, we fin…

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 $H$ -invariant for filtrations over a log Fano…