Corollary 16.28.73944620474A50

Corollary 16.28.73.944620474A50 The following conditions on a Hermitian metric $\omega $ are equivalent:

1. $v_+(\omega )<+\infty $;

2. every member of $\mathcal E_{\mathrm{env}}(X,\omega ,0)$ has finite extended mass;

3. every $u\in \mathrm{PSH}(X,\omega )$ with $P_\omega [u]=0$ has finite extended mass.