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arxiv: 1104.4583 · v1 · pith:5MD4AIMSnew · submitted 2011-04-23 · 🧮 math.NT · math.AG

Classicality of overconvergent Hilbert eigenforms: Case of quadratic residue degree

classification 🧮 math.NT math.AG
keywords hilbertoverconvergentquadraticactuallyadiccaseclassicalclassicality
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Let $F$ be a quadratic real field, $p$ be a rational prime inert in $F$. In this paper, we prove that an overconvergent $p$-adic Hilbert eigenform for $F$ of small slope is actually a classical Hilbert modular form.

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