Conjecture 25.23.3F96A00F2C17A

Conjecture 25.23.3.F96A00F2C17A Let $X$ be a connected compact Kähler manifold and $Y$ be a submanifold. Fix a Kähler class $\alpha $ on $X$. For each Kähler current $S\in \alpha |_ Y$, we can find a Kähler current $T\in \alpha $ such that