Equation 20.2.3103AF8A775E35

\begin{equation} \operatorname{vol}_{X|Y}(\alpha )\coloneqq \lim _{\epsilon \searrow 0}\sup _{\varphi } \int _ Y \left(\theta |_ Y + \epsilon \omega |_ Y +\mathrm{dd}^{\mathrm{c}}\varphi |_ Y\right)^ m. \end{equation}