PomeDefinition 17.6.4.0C3B4338E463 For $u\in \mathrm{PSH}(X,\theta )$ let $\mathcal F_ u$ be the set of potentials $v\in \mathrm{PSH}(X,\theta )$ such that $v\leq 0$, $u\preceq v$ and
\[ \int _ X\langle \theta _ v^ k\wedge \theta _ V^{n-k}\rangle =\int _ X\langle \theta _ u^ k\wedge \theta _ V^{n-k}\rangle \qquad \text{for }0\leq k\leq n. \]
The singularity ceiling of $u$ is the function $(\sup _{v\in \mathcal F_ u}v)^*$.
Comments
Corrections, questions, and mathematical discussion are welcome. Sign in with GitHub to comment. Comments are public.