The 3-adic eigencurve at the boundary of weight space

DOI10.1142/S1793042114500560zbMath1311.11030arXiv1310.7354OpenAlexW2149204921MaRDI QIDQ3191221

David Roe

Publication date: 30 September 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7354

zbMATH Keywords

slopes of modular forms\(p\)-adic eigencurveovercongergent modular forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Rigid analytic geometry (14G22)

Related Items (16)

On the reductions of certain two-dimensional crystabelline representations ⋮ Slopes of eigencurves over boundary disks ⋮ Irreducible components of the eigencurve of finite degree are finite over the weight space ⋮ Slopes in eigenvarieties for definite unitary groups ⋮ Slopes of Modular Forms ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack ⋮ Computations on overconvergence rates related to the Eisenstein family ⋮ Eisenstein series, \(p\)-adic modular functions, and overconvergence. II ⋮ 2‐adic slopes of Hilbert modular forms over Q(5) ⋮ Eisenstein series, \(p\)-adic modular functions, and overconvergence ⋮ Slopes of Overconvergent Hilbert Modular Forms ⋮ Modular eigenforms at the boundary of weight space ⋮ Arithmetic properties of Fredholm series forp-adic modular forms ⋮ On the reductions of certain two-dimensional crystalline representations ⋮ The Eisenstein family ⋮ Upper bounds for constant slope \(p\)-adic families of modular forms

Uses Software

• PARI/GP
• SageMath

Cites Work

• Unnamed Item
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• On the slopes of the \(U_5\) operator acting on overconvergent modular forms
• Slopes of overconvergent 2-adic modular forms
• The 2-adic eigencurve at the boundary of weight space
• Slopes of the U₇ operator acting on a space of overconvergent modular forms

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