2010/08/18 by Eugen Hellmann, Hellmann, Eugen
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.AG
paper · pdf · doi:10.48550/arxiv.1008.3071
18 pages, 2 figures
arxiv created 2010/08/18 · arxiv updated 2010/08/19
We show that the Kisin varieties associated to simple ϕ-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.