论文标题
比较棱柱性的同时学和衍生的DE RHAM协同学
Comparison of prismatic cohomology and derived de Rham cohomology
论文作者
论文摘要
我们建立了棱柱分析的同构与衍生的De Rham同胞之间的比较，以尊重各种结构，例如其Frobenius的作用和过滤。作为一个应用程序，当$ x $是$ \ MATHCAL O_K $的合适的正式计划时，$ k $是$ p $ - adic领域时，我们改善了breuil- caruso关于扭转晶体晶体共同体学和扭转扭矩的比较理论。
We establish a comparison isomorphism between prismatic cohomology and derived de Rham cohomology respecting various structures, such as their Frobenius actions and filtrations. As an application, when $X$ is a proper smooth formal scheme over $\mathcal O_K$ with $K$ being a $p$-adic field, we improve Breuil--Caruso's theory on comparison between torsion crystalline cohomology and torsion étale cohomology.
