3 problems

Mustată–Olano–Popa's generation-level conjecture. If $n\geq 3$, then the Hodge filtration on $\mathscr{O}_X(*D)$ is generated at level $n-3$.

Let $\mathcal{M}$ be a Tannakian category of motives over $\mathbb{Q}$ with de Rham period algebra $\mathcal{P}^{\mathfrak{dr}}$ and sequential period map…

Let $X$ be a smooth complex variety of dimension $n\geq 3$, let $D$ be a reduced divisor on $X$ with rational singularities, and let $F_\bullet\mathscr{O}_X(*D)$ denote Saito's Hod…