A counterexample to the Gouvêa-Mazur conjecture

DOI10.1016/j.crma.2004.03.016zbMath1149.11309arXivmath/0311361OpenAlexW2053251798WikidataQ59296800 ScholiaQ59296800MaRDI QIDQ1876843

Kevin Buzzard, Frank Calegari

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311361

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33)

Related Items (14)

Local constancy of dimension of slope subspaces of automorphic forms ⋮ Slopes of modular forms and reducible Galois representations, an oversight in the ghost conjecture ⋮ Local constancy of dimensions of Hecke eigenspaces of automorphic forms ⋮ Slopes of eigencurves over boundary disks ⋮ On the Structure and Slopes of Drinfeld Cusp Forms ⋮ Reductions of Galois representations and the theta operator ⋮ REDUCTIONS OF -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE -INVARIANT ⋮ Slopes of Modular Forms ⋮ An explicit computation of the Hecke operator and the ghost conjecture ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack ⋮ On Slope Subspaces of Cohomology of p-adic Verma Modules ⋮ Computations with classical and p-adic modular forms ⋮ Upper bounds for constant slope \(p\)-adic families of modular forms ⋮ Computing overconvergent forms for small primes

Uses Software

• Magma

Cites Work

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• Dimension variation of classical and \(p\)-adic modular forms
• \(p\)-adic Banach spaces and families of modular forms
• The Magma algebra system. I: The user language
• Families of Modular Eigenforms
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II

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