On groups definable in geometric fields with generic derivations
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.
Authors
- Françoise Point (ORCID: https://orcid.org/0000-0003-1414-952X)
- Silvain Rideau-Kikuchi (ORCID: https://orcid.org/0000-0001-7864-4971)
- Anand Pillay (ORCID: https://orcid.org/0000-0002-2471-4097)
Institutions
- Centre National de la Recherche Scientifique (FR)
- École Normale Supérieure - PSL (FR)
- Laboratoire de Mathématiques d'Orsay (FR)
- Département de mathématiques et applications (FR)
Publication Details
- Journal
- ArXiv.org
- Published
- 2025-03-17
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00