Finiteness of Unramified Deformation Rings

نویسندگان

  • PATRICK B. ALLEN
  • FRANK CALEGARI
چکیده

We prove that the universal unramified deformation ring R of a continuous Galois representation ρ : GF+ → GLn(k) (for a totally real field F and finite field k) is finite over O = W (k) in many cases. We also prove (under similar hypotheses) that the universal deformation ring R is finite over the local deformation ring R.

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تاریخ انتشار 2014