Explicit construction of universal deformation rings

@inproceedings{Smit1997ExplicitCO,
  title={Explicit construction of universal deformation rings},
  author={B. D. Smit and H. Lenstra},
  year={1997}
}
Let G be a profinite group and let k be a field. By a k-representation of G we mean a finite dimensional vector space over k with the discrete topology, equipped with a continuous k-linear action of G. If V is a k-representation of G and A is a complete local ring with residue field k, then a deformation of V in A is an isomorphism class of continuous representations of G over A that reduce to V modulo the maximal ideal of A; precise definitions are given in Section 2. We denote by Def(V, A… Expand
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References

SHOWING 1-9 OF 9 REFERENCES
Functors of Artin rings
  • 643
  • PDF
Deforming Galois Representations
  • 317
Introduction to commutative algebra
  • 3,590
Fermat’s Last Theorem
  • 446
  • PDF
On a variation of Mazur's deformation functor
  • 111
  • PDF
Théorie des ensembles
  • 215
Rings with polynomial identities
  • 282