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arXiv · 2508.18036

Analytic Linearization and Holomorphic Extensions of Proper Groupoids

Rui Loja Fernandes·Ning Jiang
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Abstract

We establish analytic linearization of s-proper analytic groupoids around invariant submanifolds. We apply this result to show that any such groupoid admits a holomorphic extension.

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Rui Loja Fernandes, Ning Jiang. 2025-08-25. Analytic Linearization and Holomorphic Extensions of Proper Groupoids. https://arxiv.org/abs/2508.18036

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