Weak completions, bornologies and rigid cohomology
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 funct...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2018 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/88596 |
| Acesso em linha: | http://hdl.handle.net/11336/88596 |
| Access Level: | Acceso aberto |
| Palavra-chave: | ALGEBRAIC GEOMETRY BORNOLOGICAL ALGEBRAS CYCLIC HOMOLOGY OVERCONVERGENT COMPLETIONS POSITIVE CHARACTERISTIC RIGID COHOMOLOGY https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | 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. |
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