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Representations related to CM elliptic curves
- Source :
- Mathematical Proceedings of the Cambridge Philosophical Society. 113:71-85
- Publication Year :
- 1993
- Publisher :
- Cambridge University Press (CUP), 1993.
-
Abstract
- In [10], Mazur showed that the p-adic lifts of a given absolutely irreducible representation are parametrized by a universal deformation ξ:Gℚ, S → GL2() where has the form . (Here Gℚ, S is the Galois group over ℚ of a maximal algebraic extension unramified outside a finite set S of rational primes.) In [1, 3, 10], situations were investigated where the universal deformation ring turned out to be ℚp[[T1T2, T3]] (i.e. r = 3, I = (0)). In [2], the tame relation of algebraic number theory led to more complicated universal deformation rings, ones whose prime spectra consist essentially of four-dimensional sheets.
Details
- ISSN :
- 14698064 and 03050041
- Volume :
- 113
- Database :
- OpenAIRE
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Accession number :
- edsair.doi...........136b317ea1e81fd154e0a90225e4a00c