3 problems

The locally analytic $\operatorname{Ext}$ conjecture. Under the splitting in Proposition referred to in the source,…

Let $\mathcal{L},\mathcal{L}'\in\mathbb{Q}_p$ be admissible, let $k$ be the weight, and let $C_{p,k}$ be the constant appearing in the conjecture. Let…

Let $D=(D,\varphi_D,N,\operatorname{Fil}^\bullet D_K)$ be a weakly admissible filtered $(\varphi,N)$-module such that $\operatorname{gr}^wD_K=0$ for all $w\notin[0,p-1]$. Let…