Abstract
We prove that torsors under parahoric group schemes on the punctured spectrum of Fontaine’s ring
Acknowledgements
We thank Peter Scholze heartily for his interest and suggestions regarding this topic, especially for his suggestion to consider Mal’cev–Neumann series. Moreover, we heartily thank Kęstutis Česnavičius, Ian Gleason, Daniel Kirch, João Lourenço and Sebastian Posur for discussions and comments on this paper.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- An explicit formula for the Siegel series of a quadratic form over a non-archimedean local field
- Restriction for general linear groups: The local non-tempered Gan–Gross–Prasad conjecture (non-Archimedean case)
- Prescribing Ricci curvature on homogeneous spaces
- Self-similar solutions to fully nonlinear curvature flows by high powers of curvature
- Ricci flow on manifolds with boundary with arbitrary initial metric
- Unbounded negativity on rational surfaces in positive characteristic
- Extending torsors on the punctured Spec(Ainf)
- Non-isomorphic 2-groups with isomorphic modular group algebras
- Erratum to Profinite rigidity for twisted Alexander polynomials (J. reine angew. Math. 771 (2021), 171–192)
Articles in the same Issue
- Frontmatter
- An explicit formula for the Siegel series of a quadratic form over a non-archimedean local field
- Restriction for general linear groups: The local non-tempered Gan–Gross–Prasad conjecture (non-Archimedean case)
- Prescribing Ricci curvature on homogeneous spaces
- Self-similar solutions to fully nonlinear curvature flows by high powers of curvature
- Ricci flow on manifolds with boundary with arbitrary initial metric
- Unbounded negativity on rational surfaces in positive characteristic
- Extending torsors on the punctured Spec(Ainf)
- Non-isomorphic 2-groups with isomorphic modular group algebras
- Erratum to Profinite rigidity for twisted Alexander polynomials (J. reine angew. Math. 771 (2021), 171–192)