On locally analytic vectors of the completed cohomology of modular curves

We study the locally analytic vectors in the completed cohomology of modular curves and determine the eigenvectors of a rational Borel subalgebra of $\mathfrak {gl}_2(\mathbb {Q}_p)$ . As applications, we prove a classicality result for overconvergent eigenforms of weight 1 and give a new proo...

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Détails bibliographiques
Auteur principal: Lue Pan
Format: Article
Langue:English
Publié: Cambridge University Press 2022-01-01
Collection:Forum of Mathematics, Pi
Sujets:
Accès en ligne:https://www.cambridge.org/core/product/identifier/S2050508622000014/type/journal_article