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Bibliographic Details
Main Author: Colmez, Pierre
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.12425
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Table of Contents:
  • We show that ${\mathbf B}_{\mathrm{dR}}^+$ is the universal thickening of ${\mathbf C}_p$. More generally, we show that, if $S$ is a reduced affinoid algebra, $\mathcal{O}\mathbb{B}_{\mathrm{dR}}^+(\overline{S})$ is the universal $S$-thickening of the completion of $\overline{S}$.