3 problems

Zero mass conjecture. The zero mass conjecture claims that $\nu_n(u)=0$ when $\nu_1(u)=0$.

Let $D=B_1$ be the unit ball in ${\mathbb C}^n$, and let $u$ be a plurisubharmonic function on $B_1$ that is locally bounded outside the origin. The Monge–Ampère measure…

Let $n\ge 2$, let $u$ be an $\omega_{n-1}$-plurisubharmonic function on $\mathbb{P}^{n-1}$, and define … For a closed positive $(1,1)$-current $T$, write $\langle T^n\rangle$ for i…