Some results on locally analytic socle for GL_n(mathbb{Q}_p)
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someanalyticlocallymathbbmathrmresultssocleapplication
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We study some closed rigid subspaces of the eigenvarieties, constructed by using the Jacquet-Emerton functor for parabolic non-Borel subgroups. As an application (and motivation), we prove some new results on Breuil's locally analytic socle conjecture for $\mathrm{GL}_n(\mathbb{Q}_p)$.
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