On groups definable in geometric fields with generic derivations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908952195760128 |
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| author | Pillay, Anand Point, Françoise Rideau-Kikuchi, Silvain |
| author_facet | Pillay, Anand Point, Françoise Rideau-Kikuchi, Silvain |
| contents | We study groups definable in existentially closed geometric fields with commuting derivations. Our main result is that such a group can be definably embedded in a group interpretable in the underlying geometric field. Compared to earlier work of the first two authors toguether with K. Peterzil, the novelty is that we also deal with infinite dimensional groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13242 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On groups definable in geometric fields with generic derivations Pillay, Anand Point, Françoise Rideau-Kikuchi, Silvain Logic We study groups definable in existentially closed geometric fields with commuting derivations. Our main result is that such a group can be definably embedded in a group interpretable in the underlying geometric field. Compared to earlier work of the first two authors toguether with K. Peterzil, the novelty is that we also deal with infinite dimensional groups. |
| title | On groups definable in geometric fields with generic derivations |
| topic | Logic |
| url | https://arxiv.org/abs/2503.13242 |