Construction of a Rapoport-Zink space for $\mathrm{GU}(1,1)$ in the ramified $2$-adic case

Daniel Kirch

Let $F|{\mathbb{Q}}_2$ be a finite extension. In this paper, we construct an RZ-space ${\mathcal{N}}_E$ for split $\mathrm{GU}(1,1)$ over a ramified quadratic extension $E|F$. For this…