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arXiv · 2605.03168

Real approximation for homogeneous spaces with finite stabilizers

David Harari·Nguyên M\d{a}nh Linh·Giancarlo Lucchini Arteche
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Abstract

We prove some new cases of real appoximation for homogeneous spaces with finite stabilizers and describe the state of the art around this question, giving proofs that are well-known to experts but that, to our knowledge, cannot be found in the literature. Our main new result needs the latest advances in the topic of the Brauer--Manin obstruction for homogeneous spaces with supersolvable stabilizers. It states that any finite $k$-group that is split by a $2$-primary extension satisfies real approximation.

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David Harari, Nguyên M\d{a}nh Linh, Giancarlo Lucchini Arteche. 2026-05-04. Real approximation for homogeneous spaces with finite stabilizers. https://arxiv.org/abs/2605.03168

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