p-adic Eichler–Shimura maps for the modular curve

DOI10.1112/s0010437x23007182zbMath1528.11039arXiv2102.13099OpenAlexW4377240098MaRDI QIDQ6105857

Juan Esteban Rodríguez Camargo

Publication date: 9 June 2023

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13099

zbMATH Keywords

modular curves\(p\)-adic Hodge theoryEichler-Shimura maps\(p\)-adic modular symbols

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Automorphic forms and their relations with perfectoid spaces (11F77)

Cites Work

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• Moduli of \(p\)-divisible groups
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
• On locally analytic vectors of the completed cohomology of modular curves
• Les Schémas de Modules de Courbes Elliptiques
• Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology
• Overconvergent Eichler–Shimura isomorphisms
• Higher Hida and Coleman theories on the modular curve
• Logarithmic Riemann–Hilbert correspondences for rigid varieties
• De Rham comparison and Poincaré duality for rigid varieties

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