Deninger’s conjectures and Weil–Arakelov cohomology
We conjecture the existence of a long exact sequence relating Deninger’s conjectural cohomology to Weil–Arakelov cohomology, the latter being unconditionally defined. We prove this conjecture for smooth projective varieties over finite fields whose Weil-étale motivic cohomology groups are finitely g...
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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: | 05.01.2021 |
| Source: | Münster Journal of Mathematics, 13 (2020), S. 519-540 |
| Publisher: |
Mathematisches Institut (Universität Münster)
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| Edition statement: | [Electronic ed.] |
| DDC Subject: | 510: Mathematik |
| License: | InC 1.0 |
| Language: | English |
| Format: | PDF document |
| URN: | urn:nbn:de:hbz:6-90169643343 |
| Other Identifiers: | DOI: 10.17879/90169642993 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-90169643343 |
| Digital documents: | mjm_2020_13_519-540.pdf |
We conjecture the existence of a long exact sequence relating Deninger’s conjectural cohomology to Weil–Arakelov cohomology, the latter being unconditionally defined. We prove this conjecture for smooth projective varieties over finite fields whose Weil-étale motivic cohomology groups are finitely generated. Then we explain the consequences that such an exact sequence would have.