A Fourier Transform for Banach-Colmez spaces
Algebraic Geometry
2021-11-23 v1 Number Theory
Abstract
We define and study an -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 -adic Fourier transform for unipotent perfect group schemes. We explicitly describe it on some examples.
Keywords
Cite
@article{arxiv.2111.11116,
title = {A Fourier Transform for Banach-Colmez spaces},
author = {Johannes Anschütz and Arthur-César Le Bras},
journal= {arXiv preprint arXiv:2111.11116},
year = {2021}
}