Example 18.1.18.3689F6A0A9EC Let $L$ be a pseudo-effective line bundle on $X$. Elementary metrics on $L$ are defined in definition 16.8.20. Let $h$ be an elementary metric on $L$. Then $\mathrm{dd}^{\mathrm{c}}h$ is $\mathcal{I}$-good.
This is a direct consequence of proposition 18.1.17 and example 18.1.10, and the fact that $\mathcal{I}$-goodness depends only on the $P$-singularity type.
Comments
Corrections, questions, and mathematical discussion are welcome. Sign in with GitHub to comment. Comments are public.