3 problems

Let $X$ be a smooth projective variety of dimension $n$ over the complex numbers, and let $L$ be a nef and big line bundle on $X$. Thus $(X,L)$ is a quasi-polarized manifold. Iones…

Fujita's spannedness conjecture. The adjoint bundle $K+nL$ is spanned unless $L^n=1$.

Let $X$ be a non-compact weakly pseudoconvex complex space of pure dimension $n$, let $\pi:\widetilde{X}\longrightarrow X$ be a canonical desingularization, and let…