ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of perfectoid spaces. Another new ingredient is the pro-étale site, which makes all constructions completely functorial.
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| Veröffentlicht in: | Forum of mathematics. Pi 2013, Vol.1, Article e1 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of perfectoid spaces. Another new ingredient is the pro-étale site, which makes all constructions completely functorial. |
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| ISSN: | 2050-5086 2050-5086 |
| DOI: | 10.1017/fmp.2013.1 |