4 problems

Let $L$ be a holomorphic line bundle on a complex manifold. Suppose that $L$ is semi-positive and positive at least at one point. Grauert–Riemenschneider conjecture. Then $L$ is bi…

SzH{o}ke's dimension conjecture. The space $A^2(D;L)$ either coincides with $H^0(M,L)$ or is infinite dimensional.

Let $\mathcal{Q}$ and $\mathcal{Q}'$ be subsets of $\mathbb{C}$ identified by the restriction of an isometry $phi$ via a relation $sim$, and let … be the topological surface obtain…

The distributions under consideration are holomorphic on the Riemann sphere away from singular sets homeomorphic to a Cantor set or Sierpiński gasket, and arise as limits of ration…