3 problems

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

Vanishing conjecture. For any dominant weight $\mu$,

Let $r\geqslant 2$ be an integer and let $\bm{k}$ be an algebraically closed field. Let $\mathcal{B}_{N}^{r}$ be the $r$-fold product of the flag variety of $GL_{N}$, and let…