Connectedness of Kisin varieties for GL_2
Eugen Hellmann
| Number | 38 |
|---|---|
| Author | Eugen Hellmann |
| Project | B08 |
| Year | 2010 |
We show that the Kisin varieties associated to simple $\phi$-modules of rank $2$ are connected in the case of an arbitrary cocharacter. This proves that the connected components of the generic fiber of the flat deformation ring of an irreducible $2$-dimensional Galois representation of a local field are precisely the components where the multiplicities of the Hodge-Tate weights are fixed.
