Deformations of GQp and GL2(Qp) Representations
| Title: | Deformations of GQp and GL2(Qp) Representations |
| Author: | Kisin, Mark |
| Citation: | Kisin, Mark. 2010. Deformations of GQp and GL2(Qp) Representations. Astérisque 330: 511-528. |
| Full Text & Related Files: |
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| Abstract: | We show that Colmez's functor from GL2(Qp) representations to GQp representation produces essentially all two dimensional representations of GQp. The method compares the deformation theory for the two kinds of representations: An group calculation of Colmez implies that the deformation space for GL2(Qp) representations is closed in that for GQp-representations. A local version of the Gouvêa-Mazur "infinite fern'' argument shows that this closed subspace is also dense. |
| Published Version: | http://smf4.emath.fr/Publications/Asterisque/2010/330/html/smf_ast_330_511-528.php |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:4794887 |
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