RAPOPORT–ZINK SPACES OF HODGE TYPE
When $p>2$ , we construct a Hodge-type analogue of Rapoport–Zink spaces under the unramifiedness assumption, as formal schemes parametrizing ‘deformations’ (up to quasi-isogeny) of $p$ -divisible groups with certain crystalline Tate tensors. We also define natural rigid analytic towers with expec...
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| Veröffentlicht in: | Forum of mathematics. Sigma 2018, Vol.6, Article e8 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | When
$p>2$
, we construct a Hodge-type analogue of Rapoport–Zink spaces under the unramifiedness assumption, as formal schemes parametrizing ‘deformations’ (up to quasi-isogeny) of
$p$
-divisible groups with certain crystalline Tate tensors. We also define natural rigid analytic towers with expected extra structure, providing more examples of ‘local Shimura varieties’ conjectured by Rapoport and Viehmann. |
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| ISSN: | 2050-5094 2050-5094 |
| DOI: | 10.1017/fms.2018.6 |