Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups

Pavel Čoupek, Evangelia Gazaki, Adriano Marmora

Let $K$ be a $p$-adic field and $T$ a lattice in a semistable representation of $\mathrm{Gal}(\overline{K}/K)$ with Hodge-Tate weights in $[0,r]$. Assuming $0\le r<p-1$, we prove…