The Hodge–Tate weight conjecture for crystalline Breuil–Kisin modules
Assume K=Kcyc∩K∞K=K_{{\mathrm{cyc}}}\cap K_\inftyK=Kcyc∩K∞. Let M\mathfrak MM be a crystalline Breuil–Kisin module of rank ddd, let λ:=ξE([π♭])\lambda:=\frac{\xi}{E([\pi^{\flat}])}λ:=E([π♭])ξ, and let A~\widetilde AA…