Une conjecture $C_{\mathrm{st}}$ pour la cohomologie à support compact

Pierre Colmez, Sally Gilles, Wiesława Nizioł

Let $\mathbf{B}$ be the ring of analytic functions on the Fargues-Fontaine curve $Y_{\mathrm{FF}}$. We show that adding $p$-adic analogs of $\log p$ and $\log 2\pi i$ kills its Galois coho…