Ertl, Veronika and Niziol, Wieslawa (2019) Syntomic cohomology and p-adic motivic cohomology. ALGEBRAIC GEOMETRY, 6 (1). pp. 100-131. ISSN 2313-1691, 2214-2584
Full text not available from this repository. (Request a copy)Abstract
We prove a mixed characteristic analog of the Beilinson-Lichtenbaum conjecture for p-adic motivic cohomology. It gives a description, in the stable range, of p-adic motivic cohomology (defined using algebraic cycles) in terms of differential forms. This generalizes a result of Geisser from small Tate twists to all twists. We use as a critical new ingredient the comparison theorem between syntomic complexes and p-adic nearby cycles proved recently by Colmez and Niziol.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMI-STABLE REDUCTION; BLOCH-KATO CONJECTURE; CRYSTALLINE COHOMOLOGY; ETALE; REGULATORS; TORSION; CYCLES; motivic cohomology; syntomic cohomology; p-adic nearby cycles |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Apr 2020 05:59 |
| Last Modified: | 28 Apr 2020 05:59 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27918 |
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