Arithmetic duality for $p$-adic pro-étale cohomology of analytic curves

Pierre Colmez, Sally Gilles, Wiesława Nizioł

We prove a Poincaré duality for arithmetic $p$-adic pro-étale cohomology of smooth dagger curves over finite extensions of ${\mathbf{Q}}_p$. We deduce it, via the Hochschild-Serre s…