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A Fourier Transform for Banach-Colmez spaces (2111.11116v1)
Published 22 Nov 2021 in math.AG and math.NT
Abstract: We define and study an $\ell$-adic Fourier transform for a relative version of Banach-Colmez spaces (over a perfectoid space which is not necessarily a geometric point), which can be thought of as some analytic analogue of the $\ell$-adic Fourier transform for unipotent perfect group schemes. We explicitly describe it on some examples.
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