On non-Archimedean and motivic distributions defined by kernels
Number Theory
2026-04-01 v1 Algebraic Geometry
Abstract
As in real microlocal analysis, we prove a Schwartz kernel theorem for -adic distributions. We extend this result for motivic distributions using Cluckers-Loeser's motivic integration. In both settings, we give also a relation between the wave front sets of the distribution and its kernel.
Keywords
Cite
@article{arxiv.2603.29417,
title = {On non-Archimedean and motivic distributions defined by kernels},
author = {Téofil Adamski},
journal= {arXiv preprint arXiv:2603.29417},
year = {2026}
}