Relative Fontaine-Messing theory over power series rings

Tong Liu, Yong Suk Moon, Deepam Patel

Let $k$ be a perfect field of characteristic $p>2$, $R:=W(k)[[t_1,\dots ,t_d]]$ be the power series ring over the Witt vectors, and $X$ be a smooth proper scheme over $R$. T…