论文标题
卡地亚的棱柱形成
Cartier smoothness in prismatic cohomology
论文作者
论文摘要
我们介绍了$ p $ cartier Smooth代数的概念。它概括了光滑的代数,并在完美的底座上包括估值环。我们在棱镜同谋方面给出了几种$ p $ cartier平滑度的特征,并根据该假设推断了语法和étale共同体之间的比较定理。
We introduce the notion of a $p$-Cartier smooth algebra. It generalises that of a smooth algebra and includes valuation rings over a perfectoid base. We give several characterisations of $p$-Cartier smoothness in terms of prismatic cohomology, and deduce a comparison theorem between syntomic and étale cohomologies under this hypothesis.