Geodesic
Nonarchimedean Bornologies, Cyclic Homology and Rigid Cohomology
Documenta mathematica, Tome 23 (2018), pp. 1197-1245
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/645
Classification : 13D03, 14F30, 14F40, 14G22, 19D55
Mots-clés : bornological algebra, rigid cohomology, periodic cyclic homology 
@article{10_4171_dm_645,
     author = {Georg Tamme and Guillermo Corti\~nas and Ralf Meyer and Joachim Cuntz},
     title = {Nonarchimedean {Bornologies,} {Cyclic} {Homology} and {Rigid} {Cohomology}},
     journal = {Documenta mathematica},
     pages = {1197--1245},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/645},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/645/}
}
TY  - JOUR
AU  - Georg Tamme
AU  - Guillermo Cortiñas
AU  - Ralf Meyer
AU  - Joachim Cuntz
TI  - Nonarchimedean Bornologies, Cyclic Homology and Rigid Cohomology
JO  - Documenta mathematica
PY  - 2018
SP  - 1197
EP  - 1245
VL  - 23
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/645/
DO  - 10.4171/dm/645
ID  - 10_4171_dm_645
ER  - 
%0 Journal Article
%A Georg Tamme
%A Guillermo Cortiñas
%A Ralf Meyer
%A Joachim Cuntz
%T Nonarchimedean Bornologies, Cyclic Homology and Rigid Cohomology
%J Documenta mathematica
%D 2018
%P 1197-1245
%V 23
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/645/
%R 10.4171/dm/645
%F 10_4171_dm_645
Georg Tamme; Guillermo Cortiñas; Ralf Meyer; Joachim Cuntz. Nonarchimedean Bornologies, Cyclic Homology and Rigid Cohomology. Documenta mathematica, Tome 23 (2018), pp. 1197-1245. doi: 10.4171/dm/645

Cité par Sources :