Analytic Linearization and Holomorphic Extensions of Proper Groupoids

Fuente: arXiv
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Autori principali: Fernandes, Rui Loja, Jiang, Ning
Natura: Preprint
Pubblicazione: 2025
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author Fernandes, Rui Loja
Jiang, Ning
author_facet Fernandes, Rui Loja
Jiang, Ning
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_18036
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Analytic Linearization and Holomorphic Extensions of Proper Groupoids
Fernandes, Rui Loja
Jiang, Ning
Differential Geometry
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.
title Analytic Linearization and Holomorphic Extensions of Proper Groupoids
topic Differential Geometry
url https://arxiv.org/abs/2508.18036