2 problems

Let $X$ be a weakly pseudoconvex manifold, let $L\longrightarrow X$ be a holomorphic line bundle, and let $\mathscr{J}$ be an ideal sheaf on $X$. Assume that $L$ is exhaustion sing…

Coherence conjecture. If $h$ is Griffiths semi-positive, then $\mathcal{E}(h)$ is coherent.