The map $M^{+}\to\{Z_{0}Z_{1}Z_{2}=1-Z_{3}\}$ is a holomorphic open embedding. The $T^{2}$-action is identified as

$$e^{i\theta_{1}}\cdot(Z_{0},Z_{1},Z_{2})=(e^{-i\theta_{1}}Z_{0},e^{i\theta_{1}}Z_{1},Z_{2}),\quad e^{i\theta_{2}}\cdot(Z_{0},Z_{1},Z_{2})=(e^{-i\theta_{2}}Z_{0},Z_{1},e^{i\theta_{2}}Z_{2}),$$

and the holomorphic volume form is $\tilde{\Omega}^{(1)}=-\frac{\sqrt{-1}}{2\pi Z_{3}}dZ_{0}\wedge dZ_{1}\wedge dZ_{2}$.