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arXiv · 2503.13242

On groups definable in geometric fields with generic derivations

Anand Pillay·Françoise Point·Silvain Rideau-Kikuchi
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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.

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Anand Pillay, Françoise Point, Silvain Rideau-Kikuchi. 2025-03-17. On groups definable in geometric fields with generic derivations. https://arxiv.org/abs/2503.13242

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