Ertl, Veronika (2022) A new proof of a vanishing result due to Berthelot, Esnault, and Rulling. JOURNAL OF NUMBER THEORY, 237. pp. 242-256. ISSN 0022-314X, 1096-1658
Full text not available from this repository. (Request a copy)Abstract
The goal of this small note is to give a more concise proof of a result due to Berthelot, Esnault, and Rulling in [4]. For a regular, proper, and flat scheme X over a discrete valuation ring of mixed characteristic (0, p), it relates the vanishing of the cohomology of the structure sheaf of the generic fibre of X with the vanishing of the Witt vector cohomology of its special fibre. We use as a critical ingredient results and constructions by Beilinson [2] and Nekovar-Niziol [14] related to the h-topos over a p-adic field. (c) 2019 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COHOMOLOGY; FORMS; Vanishing theorems; p-Adic Hodge theory; h-Topology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Jan 2024 06:33 |
| Last Modified: | 29 Jan 2024 13:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57210 |
Actions (login required)
 |
View Item |
