Deformations of GQp and GL2(Qp) Representations

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Deformations of GQp and GL2(Qp) Representations

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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.
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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.
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  • FAS Scholarly Articles [8255]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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