2 problems

Let $S$ be a $p$-adic scheme, let $X/S_0$ be a proper SNCL scheme with relative SNCD $D$, and let $f\colon X\to S$ be the structural morphism. Let $P$ and $P^D$ be the weight filtr…

Let $\kappa$ be a field, let $s$ be the log point of $\kappa$, and let $X/s$ be a proper SNCL scheme of pure dimension $d$. For $n,r\in\mathbb Z_{\geq 1}$, define the log geometric…