Universal Deformation Rings Need Not Be Complete Intersections

@inproceedings{Chinburg2006UniversalDR,
  title={Universal Deformation Rings Need Not Be Complete Intersections},
  author={Ted Chinburg},
  year={2006}
}
We answer a question of M. Flach by showing that there is a linear representation of a profinite group whose (unrestricted) universal deformation ring is not a complete intersection. We show that such examples arise in arithmetic in the following way. There are infinitely many real quadratic fields F for which there is a mod 2 representation of the Galois group of the maximal unramified extension of F whose universal deformation ring is not a complete intersection. Finally, we discuss bounds on… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Deforming Galois representations

  • B. Mazur
  • In: Galois groups over Q
  • 1987
Highly Influential
12 Excerpts

Moduli of finite flat group schemes and modularity

  • M. Kisin
  • Preprint
  • 2006
1 Excerpt

Universal deformation rings need not be complete intersections

  • F. M. Bleher, T. Chinburg
  • C. R. Math. Acad. Sci. Paris 342
  • 2006
1 Excerpt

Can deformation rings of group representations not be local complete intersections? In: Problems from the Workshop on Automorphisms of Curves

  • T. Chinburg
  • Edited by Gunther Cornelissen and Frans Oort…
  • 2005
1 Excerpt

Applications of versal deformations to Galois theory

  • F. M. Bleher, T. Chinburg
  • Comment. Math. Helv. 78
  • 2003
1 Excerpt

Overconvergent modular forms and the Fontaine-Mazur conjecture

  • M. Kisin
  • Invent. Math. 153
  • 2003
1 Excerpt

Similar Papers

Loading similar papers…