Close fields, affine Springer fibers and fundamental lemmas
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910059404984320 |
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| author | Bartling, Sebastian Ito, Kazuhiro |
| author_facet | Bartling, Sebastian Ito, Kazuhiro |
| contents | We prove a geometric local constancy theorem for affine Springer fibers in families of close local fields. Consequently, stable orbital integrals are locally constant in these families, and both the base change fundamental lemma and the standard endoscopic fundamental lemma transfer from characteristic zero to arbitrary positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18574 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Close fields, affine Springer fibers and fundamental lemmas Bartling, Sebastian Ito, Kazuhiro Number Theory Algebraic Geometry Primary 22E50, Secondary 20G25 We prove a geometric local constancy theorem for affine Springer fibers in families of close local fields. Consequently, stable orbital integrals are locally constant in these families, and both the base change fundamental lemma and the standard endoscopic fundamental lemma transfer from characteristic zero to arbitrary positive characteristic. |
| title | Close fields, affine Springer fibers and fundamental lemmas |
| topic | Number Theory Algebraic Geometry Primary 22E50, Secondary 20G25 |
| url | https://arxiv.org/abs/2603.18574 |