Analytic Linearization and Holomorphic Extensions of Proper Groupoids

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.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-08-25
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Analytic Linearization and Holomorphic Extensions of Proper Groupoids

arXiv (Cornell University)
Geochemistry and Geologic Mapping
article

Analytic Linearization and Holomorphic Extensions of Proper Groupoids

article en

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.

arXiv (Cornell University)
Reduced inequalities
Openalex Percentile: Top 64%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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Analytic Linearization and Holomorphic Extensions of Proper Groupoids · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS