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arXiv · 2307.01108

Perfect-Prismatic F-Crystals and p-adic Shtukas in Families

Anton Güthge
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Abstract

We show an equivalence between the two categories in the title, thus establishing a link between Frobenius-linear objects of formal (schematic) and analytic (adic) nature. We will do this for arbitrary p-complete rings, arbitrary affine-flat group schemes and without making use of the Frobenius structure. As a possible application, we take a look at prismatic cohomology of K3-surfaces and complete intersections of projective space.

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Anton Güthge. 2023-07-03. Perfect-Prismatic F-Crystals and p-adic Shtukas in Families. https://arxiv.org/abs/2307.01108

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