Completed prismatic F-crystals and crystalline Zp-local systems
Heng Du,
Tong Liu,
Yong Suk Moon
et al.
Abstract:We introduce the notion of completed
$F$
-crystals on the absolute prismatic site of a smooth
$p$
-adic formal scheme. We define a functor from the category of completed prismatic
$F$
-crystals to that of crystalline étale
$\mathbf {Z}_p$
-local systems on the generic fiber of the formal scheme and show that it gives an equivalence of categories. This generalizes the work of Bhatt and Scholze, which trea… Show more
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