Slopes of overconvergent 2-adic modular forms

DOI10.1112/S0010437X04001034zbMath1192.11037arXivmath/0311364WikidataQ59296794 ScholiaQ59296794MaRDI QIDQ4681725

Frank Calegari, Kevin Buzzard

Publication date: 24 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0311364

zbMATH Keywords

\(p\)-adic modular formsslopes of modular forms

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (15)

Nilpotence order growth of recursion operators in characteristic \(p\) ⋮ The 3-adic eigencurve at the boundary of weight space ⋮ Slopes of eigencurves over boundary disks ⋮ Slopes of Modular Forms ⋮ Computations on overconvergence rates related to the Eisenstein family ⋮ Newton polygons of Hecke operators ⋮ Slopes of Overconvergent Hilbert Modular Forms ⋮ On the \(U_p\) operator acting on \(p\)-adic overconvergent modular forms when \(X_{0}(p)\) has genus 1 ⋮ GENERATING FUNCTIONS FOR HECKE OPERATORS ⋮ On the slopes of the \(U_5\) operator acting on overconvergent modular forms ⋮ Some Hecke curves embed in the Colmez space ⋮ Modular eigenforms at the boundary of weight space ⋮ Arithmetic properties of Fredholm series forp-adic modular forms ⋮ Overconvergent modular forms and their explicit arithmetic ⋮ Computing overconvergent forms for small primes

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