3 problems

Fundamental-group finiteness conjecture. The fundamental group

Reflexive differential nonvanishing conjecture. The sheaf $\Omega^{[q]}_X$ is pseudoeffective if and only if there exists a positive integer $m$ such that

Let $X$ be a normal projective klt variety with $H^1(X,\mathcal O_X)=0$ and $K_X\sim_{\mathbb Q}0$, and let $L$ be a nef divisor. Singular abundance conjecture. Then $L$ is semiamp…