We motivate the study of the categories of non-archimedean analytic motives with a survey on their different p-adic realizations, and we show that rigid analytic and perfectoid motives are equivalent over a base of characteristic p.
The Relative (de-)Perfectoidification Functor and Motivic p-Adic Cohomologies / A. Vezzani (INFOSYS SCIENCE FOUNDATION SERIES. MATHEMATICAL SCIENCES). - In: Perfectoid Spaces / [a cura di] D. Banerjee, K.S. Kedlaya, E. de Shalit, C. Chaudhuri. - [s.l] : Springer Science and Business Media, 2022. - ISBN 978-981-16-7120-3. - pp. 15-36 [10.1007/978-981-16-7121-0_2]
The Relative (de-)Perfectoidification Functor and Motivic p-Adic Cohomologies
A. Vezzani
2022
Abstract
We motivate the study of the categories of non-archimedean analytic motives with a survey on their different p-adic realizations, and we show that rigid analytic and perfectoid motives are equivalent over a base of characteristic p.
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