Overconvergent de Rham–Witt cohomology for semi-stable varieties
We define an overconvergent version of the Hyodo–Kato complex for semi-stable varieties Y over perfect fields of positive characteristic, and prove that its hypercohomology tensored with Q recovers the log-rigid cohomology when Y is quasi-projective. We then describe the monodromy operator using the...
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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: | 05.01.2023 |
| Quelle: | Münster Journal of Mathematics, 13 (2020), S. 541-571 |
| 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 |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-90169635796 |
| Weitere Identifikatoren: | DOI: 10.17879/90169635144 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-90169635796 |
| Onlinezugriff: | mjm_2020_13_541-571.pdf |
We define an overconvergent version of the Hyodo–Kato complex for semi-stable varieties Y over perfect fields of positive characteristic, and prove that its hypercohomology tensored with Q recovers the log-rigid cohomology when Y is quasi-projective. We then describe the monodromy operator using the overconvergent Hyodo–Kato complex. Finally, we show that overconvergent Hyodo–Kato cohomology agrees with log-crystalline cohomology in the projective semi-stable case.