Presentations of universal deformation rings

@inproceedings{Bckle2005PresentationsOU,
  title={Presentations of universal deformation rings},
  author={Gebhard B{\"o}ckle},
  year={2005}
}
Let F be a finite field of characteristic ` > 0, F a number field, GF the absolute Galois group of F and let ρ̄ : GF → GLN (F) be an absolutely irreducible continuous representation. Suppose S is a finite set of places containing all places above ` and above ∞ and all those at which ρ̄ ramifies. Let O be a complete discrete valuation ring of characteristic zero with residue field F. In such a situation one may consider all deformations of ρ̄ to O-algebras which are unramified outside S and… CONTINUE READING

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