Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584093 | Journal of Algebra | 2015 | 43 Pages |
Abstract
Let GKGK be the absolute Galois group of a finite extension K of QpQp and ρ¯:GK→GLn(F) be a continuous residual representation for F a finite field of characteristic p . We investigate whether the versal deformation space X(ρ¯) of ρ¯ is irreducible. For n=2n=2 and p>2p>2 we obtain a complete answer in the affirmative based on the results of [2] and [4]. As a consequence we deduce from recent results of Colmez, Kisin and Nakamura [10], [22] and [28] that for n=2n=2 and p>2p>2 crystalline points are Zariski dense in the versal deformation space X(ρ¯).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gebhard Böckle, Ann-Kristin Juschka,