Analytic Linearization and Holomorphic Extensions of Proper Groupoids
Differential Geometry
2026-02-19 v3
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.
Cite
@article{arxiv.2508.18036,
title = {Analytic Linearization and Holomorphic Extensions of Proper Groupoids},
author = {Rui Loja Fernandes and Ning Jiang},
journal= {arXiv preprint arXiv:2508.18036},
year = {2026}
}
Comments
An application to analytic linearization of real analytic Poisson structures was added. A few typos were corrected and exposition was improved. 28 pages