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The Kahler-Einstein metric is an example of a canonical metric on a Kahler manifold. We say that a metric $\omega$ is Kahler-Einstein if $Ric(\omega)=\lambda\omega$, where $\lambda\in\{-1,0,+1\}$.

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Geometry of destabilizing centers in $K$-stability

You are right that $Z$ is rationally connected. You can see this by taking the divisorial $\delta$-minimizer $E$ centered at $Z$, and extract a divisor $F$ on $X\times\mathbb{A}^1$ centered at $Z\tim …
Yuchen Liu's user avatar
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