Nonarchimedean bornologies, cyclic homology and rigid cohomology
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 l...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/89051 |
| Acceso en línea: | http://hdl.handle.net/11336/89051 |
| Access Level: | acceso abierto |
| Palabra clave: | Rigid cohomology Cyclic homology Bornological analysis Nonarchimedean analysis https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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. |
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