Journal article
Universal deformation rings need not be complete intersections
Comptes Rendus Mathematique, Vol.342(4), pp.229-232
2006
DOI: 10.1016/j.crma.2005.12.006
Abstract
We answer a question of M. Flach by showing that there is a linear representation of a profinite group whose 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. To cite this article: F.M. Bleher, T. Chinburg, C. R. Acad. Sci. Paris, Ser. I 342 (2006).
Details
- Title: Subtitle
- Universal deformation rings need not be complete intersections
- Creators
- Frauke M BleherTed Chinburg
- Resource Type
- Journal article
- Publication Details
- Comptes Rendus Mathematique, Vol.342(4), pp.229-232
- DOI
- 10.1016/j.crma.2005.12.006
- ISSN
- 1631-073X
- eISSN
- 1778-3569
- Language
- English
- Date published
- 2006
- Academic Unit
- Mathematics
- Record Identifier
- 9983985977402771
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