On the cohomological dimension of Henselian valued fields

Diego Izquierdo, Giancarlo Lucchini Arteche, Gonzalo Manzano Flores

Let $(K,v)$ be a Henselian valued field of rank one and of mixed characteristic $(0,p)$, with value group $\Gamma$ dense in $\mathbb{R}$ and residue field $k$. We compute all the graded…