On p-adic comparison theorems for rigid analytic varieties, I
We compute, in a stable range, the arithmetic p-adic ´etale cohomology of smooth rigid analytic and dagger varieties (without any assumption on the existence of a nice integral model) in terms of differential forms using syntomic methods. The main technical input is a construction of a Hyodo–Kato co...
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| Weitere Beteiligte: | |
| FB/Einrichtung: | FB 10: Mathematik und Informatik |
| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2020 |
| Publikation in MIAMI: | 24.08.2020 |
| Datum der letzten Änderung: | 05.01.2021 |
| Quelle: | Münster Journal of Mathematics, 13 (2020), S. 445-507 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
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| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Förderung: | This research was partially supported by the project ANR-14-CE25 and the NSF grant No. DMS-1440140. |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-90169648964 |
| Weitere Identifikatoren: | DOI: 10.17879/90169648511 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-90169648964 |
| Onlinezugriff: | mjm_2020_13_445-507.pdf |
We compute, in a stable range, the arithmetic p-adic ´etale cohomology of smooth rigid analytic and dagger varieties (without any assumption on the existence of a nice integral model) in terms of differential forms using syntomic methods. The main technical input is a construction of a Hyodo–Kato cohomology and a Hyodo–Kato isomorphism with de Rham cohomology.