Imaginaries in equicharacteristic zero henselian fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914408927592448 |
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| author | Rideau-Kikuchi, Silvain Vicaría, Mariana |
| author_facet | Rideau-Kikuchi, Silvain Vicaría, Mariana |
| contents | We classify the imaginaries in a large class of equicharacteristic zero henselian valued fields that contain all those with bounded inertia group, and more. To do so, we consider a mix of sorts introduced in earlier works of the two authors and prove elimination of imaginaries down to the field, the k-linear imaginaries and the imaginaries of the value group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00657 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Imaginaries in equicharacteristic zero henselian fields Rideau-Kikuchi, Silvain Vicaría, Mariana Logic We classify the imaginaries in a large class of equicharacteristic zero henselian valued fields that contain all those with bounded inertia group, and more. To do so, we consider a mix of sorts introduced in earlier works of the two authors and prove elimination of imaginaries down to the field, the k-linear imaginaries and the imaginaries of the value group. |
| title | Imaginaries in equicharacteristic zero henselian fields |
| topic | Logic |
| url | https://arxiv.org/abs/2311.00657 |