Universal deformation rings need not be complete intersections |
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Authors: | Frauke M Bleher Ted Chinburg |
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Institution: | 1. Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA;2. Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395, USA |
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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). |
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