Rational $p$-adic Hodge theory for $d$-de Rham-proper stacks

Haoyang Guo, Dmitry Kubrak, Artem Prikhodko

In this follow-up paper we show that smooth Hodge-proper stacks over ${\mathcal{O}}_K$ are ${\mathbb{Q}}_p$-locally acyclic: namely the natural map between étale ${\mathbb{Q}}_p$-cohomology…