Kerz, Moritz and Saito, Shuji and Tamme, Georg (2020) TOWARDS A NON-ARCHIMEDEAN ANALYTIC ANALOG OF THE BASS-QUILLEN CONJECTURE. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 19 (6). pp. 1931-1946. ISSN 1474-7480, 1475-3030
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We suggest an analog of the Bass-Quillen conjecture for smooth affinoid algebras over a complete non-archimedean field. We prove this in the rank-1 case, i.e. for the Picard group. For complete discretely valued fields and regular affinoid algebras that admit a regular model (automatic if the residue characteristic is zero) we prove a similar statement for the Grothendieck group of vector bundles K-0.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CO-HOMOLOGY; POINTS; affinoid algebra; Picard group; homotopy invariance |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Mar 2021 10:52 |
| Last Modified: | 08 Mar 2021 10:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43485 |
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