Moduli Spaces of Nilpotent Displays
Abstract We show that the moduli problem of deformations of nilpotent displays by quasi-isogenies is representable, without using $p$-divisible groups. The main ingredients are Artin’s criterion and the theory of truncated displays. This gives in particular a new proof for the representability of Rapoport–Zink spaces.
Authors
- Sebastian Bartling
- Manuel Hoff
Institutions
- Bielefeld University (DE)
- University of Duisburg-Essen (DE)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-01-28
- DOI
- https://doi.org/10.1093/imrn/rnaf005
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft