Cortinas, Guillermo and Cuntz, Joachim and Meyer, Ralf and Tamme, Georg (2018) NONARCHIMEDEAN BORNOLOGIES, CYCLIC HOMOLOGY AND RIGID COHOMOLOGY. DOCUMENTA MATHEMATICA, 23. pp. 1197-1245. ISSN 1431-0643,
Full text not available from this repository. (Request a copy)Abstract
Let V be a complete discrete valuation ring with residue field k and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky-Washnitzer completion of a commutative V-algebra using spectral radius estimates for bounded subsets in complete bornological V-algebras. This leads us to a functorial chain complex for commutative k-algebras that computes Berthelot's rigid cohomology. This chain complex is related to the periodic cyclic homology of certain complete bornological V-algebras.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DE-RHAM; SPACES; Bornological algebra; rigid cohomology; periodic cyclic homology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2020 05:33 |
| Last Modified: | 20 Mar 2020 05:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15225 |
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