论文标题
相对$ a _ {\ rm inf} $ - 共同体
Relative $A_{\rm inf}$-cohomology
论文作者
论文摘要
我们构建了$ a _ {\ rm inf} $的相对版本 - 由Bhatt-Morrow-Scholze开发的同谋理论，并将其与Bhatt-Scholze的棱镜理论联系起来。该结构依赖于Topoi的纤维产品。作为一个应用程序，我们表明，在_ {\ rm inf} $中反转$μ\后，对$ q $ -crystalline pushforward进行了étale比较。
We construct a relative version of the $A_{\rm inf}$-cohomology theory developed by Bhatt-Morrow-Scholze and relate it to the prismatic theory of Bhatt-Scholze. The construction relies on the fiber product of topoi. As an application we show that there is an étale comparison of the $q$-crystalline pushforward after inverting $μ\in A_{\rm inf}$.
