Geodesic
On Commutative Nonarchimedean Banach Fields
Documenta mathematica, Tome 23 (2018), pp. 171-188
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We study the problem of whether a commutative nonarchimedean Banach ring which is algebraically a field can be topologized by a multiplicative norm. This can fail in general, but it holds for uniform Banach rings under some mild extra conditions. Notably, any perfectoid ring whose underlying ring is a field is a perfectoid field.
DOI : 10.4171/dm/616
Classification : 12J25
Mots-clés : nonarchimedean Banach rings, perfectoid fields 
@article{10_4171_dm_616,
     author = {Kiran S. Kedlaya},
     title = {On {Commutative} {Nonarchimedean} {Banach} {Fields}},
     journal = {Documenta mathematica},
     pages = {171--188},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/616},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/616/}
}
TY  - JOUR
AU  - Kiran S. Kedlaya
TI  - On Commutative Nonarchimedean Banach Fields
JO  - Documenta mathematica
PY  - 2018
SP  - 171
EP  - 188
VL  - 23
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/616/
DO  - 10.4171/dm/616
ID  - 10_4171_dm_616
ER  - 
%0 Journal Article
%A Kiran S. Kedlaya
%T On Commutative Nonarchimedean Banach Fields
%J Documenta mathematica
%D 2018
%P 171-188
%V 23
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/616/
%R 10.4171/dm/616
%F 10_4171_dm_616
Kiran S. Kedlaya. On Commutative Nonarchimedean Banach Fields. Documenta mathematica, Tome 23 (2018), pp. 171-188. doi: 10.4171/dm/616

Cité par Sources :