Cusps and \(q\)-expansion principles for modular curves at infinite level

DOI10.25537/dm.2022v27.2385-2439MaRDI QIDQ2695709

Ben Heuer

Publication date: 3 April 2023

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

Full work available at URL: https://arxiv.org/abs/2002.02488

zbMATH Keywords

modular curvecuspsinfinite levelperfectoid

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22)

Related Items (1)

Overconvergent Hilbert modular forms via perfectoid modular varieties

Cites Work

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• Coherent cohomology and Galois representations
• Overconvergent modular forms and perfectoid Shimura curves
• On torsion in the cohomology of locally symmetric varieties
• Modular curves and rigid-analytic spaces
• Crystalline Dieudonné module theory via formal and rigid geometry
• Perfectoid spaces
• Perfectoid covers of abelian varieties
• Moduli of \(p\)-divisible groups
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Berkeley Lectures on p-adic Geometry
• ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES

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