3 problems

Let $(X,\omega)$ be a compact Kähler manifold, let $\theta$ be a smooth closed real $(1,1)$-form representing a big class, and let $P_\theta[u]$ denote the singularity envelope of…

Let $(X,\omega)$ be a compact Kähler manifold, and let $\theta$ be a smooth closed real $(1,1)$-form representing a big class. For $u\in\operatorname{PSH}(X,\theta)$, let…

Let $(M,I,J,K)$ be an HKT manifold of quaternionic dimension $n$, with HKT form $\Omega$ and operators $\partial$ and $\partial_J=J^{-1}\circ\overline{\partial}\circ J$. A q-positi…