On groups definable in geometric fields with generic derivations
Logic
2026-04-13 v4
Abstract
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.
Keywords
Cite
@article{arxiv.2503.13242,
title = {On groups definable in geometric fields with generic derivations},
author = {Anand Pillay and Françoise Point and Silvain Rideau-Kikuchi},
journal= {arXiv preprint arXiv:2503.13242},
year = {2026}
}
Comments
10 pages