Crystalline condition for $A_{\inf }$-cohomology and ramification bounds

Pavel Čoupek

For a prime $p>2$ and a smooth proper $p$-adic formal scheme $X$ over ${\mathcal{O}}_K$ where $K$ is a $p$-adic field, we study a series of conditions (${\mathrm{Cr}}_s$), $s\ge 0$ th…