On non-Archimedean and motivic distributions defined by kernels
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908924691611648 |
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| author | Adamski, Téofil |
| author_facet | Adamski, Téofil |
| contents | As in real microlocal analysis, we prove a Schwartz kernel theorem for $p$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29417 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On non-Archimedean and motivic distributions defined by kernels Adamski, Téofil Number Theory Algebraic Geometry As in real microlocal analysis, we prove a Schwartz kernel theorem for $p$-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. |
| title | On non-Archimedean and motivic distributions defined by kernels |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2603.29417 |