Geodesic
Potentially Crystalline Lifts of Certain Prescribed Types
Documenta mathematica, Tome 22 (2017), pp. 397-422.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove several results concerning the existence of potentially crystalline lifts of prescribed Hodge-Tate weights and inertial types of a given representation $\overline{r}:G_{K}\to\mathrm{GL}_{n}(\overline{\Bbb{F}}_p)$, where $K/\Bbb Q_p$ 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.
Classification : 14F30, 11F80 
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     author = {Gee, Toby and Herzig, Florian and Liu, Tong and Savitt, David},
     title = {Potentially {Crystalline} {Lifts} of {Certain} {Prescribed} {Types}},
     journal = {Documenta mathematica},
     pages = {397--422},
     publisher = {mathdoc},
     volume = {22},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a40/}
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Gee, Toby; Herzig, Florian; Liu, Tong; Savitt, David. Potentially Crystalline Lifts of Certain Prescribed Types. Documenta mathematica, Tome 22 (2017), pp. 397-422. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a40/