Slopes of the U7 operator acting on a space of overconvergent modular forms

DOI10.1112/S1461157012000095zbMath1294.11053arXiv1110.6801MaRDI QIDQ5169631

Ken McMurdy, L. J. P. Kilford

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6801

zbMATH Keywords

Dirichlet characterslopeoverconvergent modular form\(U_7\) operatorHecke newform

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22)

Related Items (10)

The 3-adic eigencurve at the boundary of weight space ⋮ On the reductions of certain two-dimensional crystabelline representations ⋮ Slopes of eigencurves over boundary disks ⋮ Slopes in eigenvarieties for definite unitary groups ⋮ Slopes of Modular Forms ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack ⋮ On generalized modular forms supported on cuspidal and elliptic points ⋮ Arithmetic properties of Fredholm series forp-adic modular forms ⋮ On the reductions of certain two-dimensional crystalline representations ⋮ Upper bounds for constant slope \(p\)-adic families of modular forms

Cites Work

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• Stable reduction of \(X_0(p^3)\). With an Appendix by Everett W. Howe
• On the slopes of the \(U_5\) operator acting on overconvergent modular forms
• \(p\)-adic Banach spaces and families of modular forms
• Classical and overconvergent modular forms of higher level
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Analytic continuation of overconvergent eigenforms
• Classical and overconvergent modular forms

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