Definition 5.19.40909012E7F31

Definition 5.19.4.0909012E7F31 Given $T,T'\in \mathcal{Z}_+(X)$, we write $T\preceq T'$ and say $T$ is more singular than $T'$ if when we write $T=\theta +\mathrm{dd}^{\mathrm{c}}\varphi $, $T'=\theta '+\mathrm{dd}^{\mathrm{c}}\varphi '$, we have $\varphi \preceq \varphi '$. We write $T\sim T'$ if $T\preceq T'$ and $T'\preceq T$. In this case, we say $T$ and $T'$ have the same singularity type.