3 problems

Variational filtered convergent log hard Lefschetz conjecture. For the relevant integers $i$, the cup product

Let $X/S$ be as in the paper's setup, with $overset{\circ}{X}\longrightarrow\overset{\circ}{S}_1$ projective, and let $P$ denote the filtration introduced in the explanation for…

Let $f\colon X\to S$ be in the log convergent setting of the paper, with relative dimension $d$, and let $P$ denote the weight filtration. Let $N$ be the monodromy parameter and as…