Moduli spaces of nilpotent displays
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910411830329344 |
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| author | Bartling, Sebastian Hoff, Manuel |
| author_facet | Bartling, Sebastian Hoff, Manuel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10132 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli spaces of nilpotent displays Bartling, Sebastian Hoff, Manuel Algebraic Geometry Number Theory 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. |
| title | Moduli spaces of nilpotent displays |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2404.10132 |