Abstract
We show that any proper Lie groupoid admits a compatible real analytic structure. Our proof hinges on a Weyl unitary trick of sorts for appropriate local holomorphic groupoids.
Acknowledgements
The author is grateful to P. Frejlich and G. Trentinaglia for useful discussions on the subject. He would also like to thank the referee for a most thorough and acute report.
References
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Restriction formula and subadditivity property related to multiplier ideal sheaves
- Proper Lie groupoids are real analytic
- Deformations of rational curves in positive characteristic
- Curved Rickard complexes and link homologies
- Boundary properties of fractional objects: Flexibility of linear equations and rigidity of minimal graphs
Artikel in diesem Heft
- Frontmatter
- Restriction formula and subadditivity property related to multiplier ideal sheaves
- Proper Lie groupoids are real analytic
- Deformations of rational curves in positive characteristic
- Curved Rickard complexes and link homologies
- Boundary properties of fractional objects: Flexibility of linear equations and rigidity of minimal graphs