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arXiv · 1511.06882

Some results on locally analytic socle for $\mathrm{GL}_n(\mathbb{Q}_p)$

Yiwen Ding
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Abstract

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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Yiwen Ding. 2015-11-21. Some results on locally analytic socle for $\mathrm{GL}_n(\mathbb{Q}_p)$. https://arxiv.org/abs/1511.06882

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