Sprang, Johannes (2013) A universal deformation ring with unexpected Krull dimension. MATHEMATISCHE ZEITSCHRIFT, 275 (1-2). pp. 647-652. ISSN 0025-5874,
Full text not available from this repository. (Request a copy)Abstract
A well known result of Mazur gives a lower bound for the Krull dimension of the universal deformation ring associated to an absolutely irreducible residual representation in terms of the group cohomology of the adjoint representation. The question about equality - at least in the Galois case - also goes back to Mazur. In the general case the question about equality is the subject of Gouva's "Dimension conjecture". In this note we provide a counterexample to this conjecture. More precisely, we construct an absolutely irreducible residual representation with smooth universal deformation ring of strict greater Krull dimension as expected.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GALOIS REPRESENTATIONS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2020 11:11 |
| Last Modified: | 31 Mar 2020 11:11 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16001 |
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