Geodesic
Potentially Crystalline Lifts of Certain Prescribed Types
Documenta mathematica, Tome 22 (2017), pp. 397-422
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We prove several results concerning the existence of potentially crystalline lifts of prescribed Hodge-Tate weights and inertial types of a given representation r:GK​→GLn​(Fp​), where K/Qp​ is a finite extension. Some of these results are proved by purely local methods, and are expected to be useful in the application of automorphy lifting theorems. The proofs of the other results are global, making use of automorphy lifting theorems.
DOI : 10.4171/dm/569
Classification : 11F80, 14F30 
@article{10_4171_dm_569,
     author = {Toby Gee and Florian Herzig and Tong Liu and David Savitt},
     title = {Potentially {Crystalline} {Lifts} of {Certain} {Prescribed} {Types}},
     journal = {Documenta mathematica},
     pages = {397--422},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/569},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/569/}
}
TY  - JOUR
AU  - Toby Gee
AU  - Florian Herzig
AU  - Tong Liu
AU  - David Savitt
TI  - Potentially Crystalline Lifts of Certain Prescribed Types
JO  - Documenta mathematica
PY  - 2017
SP  - 397
EP  - 422
VL  - 22
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/569/
DO  - 10.4171/dm/569
ID  - 10_4171_dm_569
ER  - 
%0 Journal Article
%A Toby Gee
%A Florian Herzig
%A Tong Liu
%A David Savitt
%T Potentially Crystalline Lifts of Certain Prescribed Types
%J Documenta mathematica
%D 2017
%P 397-422
%V 22
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/569/
%R 10.4171/dm/569
%F 10_4171_dm_569
Toby Gee; Florian Herzig; Tong Liu; David Savitt. Potentially Crystalline Lifts of Certain Prescribed Types. Documenta mathematica, Tome 22 (2017), pp. 397-422. doi: 10.4171/dm/569

Cité par Sources :