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- W1570897829 abstract "Abstract Let R be a perfect 𝔽-algebra equipped with the trivial norm. Let W ( R ) be the ring of p -typical Witt vectors over R equipped with the p -adic norm. At the level of nonarchimedean analytic spaces (in the sense of Berkovich), we demonstrate a close analogy between W ( R ) and the polynomial ring R [ T ] equipped with the Gauss norm, in which the role of the structure morphism from R to R [ T ] is played by the Teichmüller map. For instance, we show that the analytic space associated to R is a strong deformation retract of the space associated to W ( R ). We also show that each fiber forms a tree under the relation of pointwise comparison, and we classify the points of fibers in the manner of Berkovich’s classification of points of a nonarchimedean disk. Some results pertain to the study of p -adic representations of étale fundamental groups of nonarchimedean analytic spaces (i.e., relative p -adic Hodge theory)." @default.
- W1570897829 created "2016-06-24" @default.
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- W1570897829 date "2013-03-01" @default.
- W1570897829 modified "2023-10-13" @default.
- W1570897829 title "Nonarchimedean geometry of Witt vectors" @default.
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- W1570897829 doi "https://doi.org/10.1017/s0027763000010692" @default.
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