2 problems

Let $X$ be a nonsingular projective variety, and let $L$ be a ${\bf Q}$-divisor on $X$. Assume that $L$ is nef and big, that $K_X+L$ is nef, and that either $L$ is a Cartier integr…

Popa's conjecture. The generating-level result for $cO_X(*D)$ should have an analogous formulation for effective $cQ$-divisors in the Hodge-filtration setup considered in the paper…