Witt affine Springer theory
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909990773587968 |
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| author | Nissan, Noam Varshavsky, Yakov |
| author_facet | Nissan, Noam Varshavsky, Yakov |
| contents | This paper extends the affine Springer theory developed by Bouthier, Kazhdan, and the second author (see [BKV]) to the mixed characteristic case. In particular, we introduce a theory of perfectly placid perfect infinity stacks and establish their dimension theory. Furthermore, we prove that, in the Witt vector setting, the Chevalley morphism between arc spaces is flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09798 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Witt affine Springer theory Nissan, Noam Varshavsky, Yakov Representation Theory Algebraic Geometry Number Theory This paper extends the affine Springer theory developed by Bouthier, Kazhdan, and the second author (see [BKV]) to the mixed characteristic case. In particular, we introduce a theory of perfectly placid perfect infinity stacks and establish their dimension theory. Furthermore, we prove that, in the Witt vector setting, the Chevalley morphism between arc spaces is flat. |
| title | Witt affine Springer theory |
| topic | Representation Theory Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2601.09798 |