In this paper we prove the Rigidity Theorem for motives of rigid analytic varieties over a non-Archimedean valued field $K$. We prove this theorem both for motives with transfers and without transfers in a relative setting. Applications include the construction of étale realization functors, an upgrade of the known comparison between motives with and without transfers and an upgrade of the rigid analytic motivic tilting equivalence, extending them to $\mathbb{Z}[1/p]$-coefficients.

中文翻译：

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刚性分析动机的刚性

在本文中，我们证明了非阿基米德值域上刚性解析簇的动机的刚性定理$K$. 我们证明了这个定理，既适用于有转移的动机，也适用于相对环境中没有转移的动机。应用包括 étale 实现函子的构建，对有转移和没有转移的动机之间已知比较的升级，以及对刚性分析动机倾斜等价的升级，将它们扩展到$\mathbb{Z}[1/p]$-系数。