Cortinas, Guillermo and Cuntz, Joachim and Meyer, Ralf and Tamme, Georg (2018) Weak completions, bornologies and rigid cohomology. JOURNAL OF GEOMETRY AND PHYSICS, 129. pp. 192-199. ISSN 0393-0440, 1879-1662
Full text not available from this repository. (Request a copy)Abstract
Let V be a complete discrete valuation ring with residue field k of positive characteristic and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky-Washnitzer completion of a commutative V-algebra using completions of bornological V-algebras. This leads us to a functorial chain complex for a finitely generated commutative algebra over the residue field k that computes its rigid cohomology in the sense of Berthelot. (C) 2018 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Algebraic geometry; Positive characteristic; Rigid cohomology; Overconvergent completions; Bornological algebras; Cyclic homology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 19 Dec 2019 12:43 |
| Last Modified: | 19 Dec 2019 12:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14373 |
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