The $A_{inf}$-cohomology in the semistable case

Kestutis Cesnavicius, Teruhisa Koshikawa

For a proper, smooth scheme $X$ over a $p$-adic field $K$, we show that any proper, flat, semistable ${\mathcal{O}}_K$-model $\mathcal{X}$ of $X$ whose logarithmic de Rham cohomology…