Non-vanishing mod $p$ of derived Hecke algebra of the multiplicative group over number field
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916461036961792 |
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| author | Kim, Dohyeong Kwon, Jaesung |
| author_facet | Kim, Dohyeong Kwon, Jaesung |
| contents | We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. The degree one part of the action is proved to be non-vanishing modulo $p$ under mild assumptions. The main ingredient is the Grunwald--Wang theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-vanishing mod $p$ of derived Hecke algebra of the multiplicative group over number field Kim, Dohyeong Kwon, Jaesung Number Theory We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. The degree one part of the action is proved to be non-vanishing modulo $p$ under mild assumptions. The main ingredient is the Grunwald--Wang theorem. |
| title | Non-vanishing mod $p$ of derived Hecke algebra of the multiplicative group over number field |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.22797 |