Deformation rings for some mod 3 Galois representations of the absolute Galois group of Q 3 Gebhard Böckle
نویسنده
چکیده
In this note we compute the (uni)versal deformation of two types of mod 3 Galois representations ρ̄ : Gal(Q3/Q3)→ GL2(F3). In the cases considered the (uni)versal ring is not formally smooth over a ring of Witt vectors. The main result is that this ring is an integral domain. This has applications to the local Langlands conjecture. The computations are based on [Bö] but made more explicit.
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تاریخ انتشار 2009