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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Further contributors: | |
Division/Institute: | FB 10: Mathematik und Informatik |
Document types: | Article |
Media types: | Text |
Publication date: | 2020 |
Date of publication on miami: | 24.08.2020 |
Modification date: | 05.01.2023 |
Source: | Münster Journal of Mathematics, 13 (2020), S. 541-571 |
Publisher: |
Mathematisches Institut (Universität Münster)
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Edition statement: | [Electronic ed.] |
DDC Subject: | 510: Mathematik |
License: | InC 1.0 |
Language: | Englisch |
Format: | PDF document |
URN: | urn:nbn:de:hbz:6-90169635796 |
Other Identifiers: | DOI: 10.17879/90169635144 |
Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-90169635796 |
Digital documents: | 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.