Geometry of the eigencurve at critical Eisenstein series of weight 2

DOI10.5802/jtnb.898zbMath1416.11074arXiv1307.4846OpenAlexW2963969392MaRDI QIDQ259502

Dipramit Majumdar

Publication date: 11 March 2016

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4846

zbMATH Keywords

critical Eisenstein seriesfull eigencurve

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80)

Related Items (4)

Endoscopic transfer between eigenvarieties for definite unitary groups ⋮ On Siegel eigenvarieties at Saito-Kurokawa points ⋮ Level raising for \(p\)-adic Hilbert modular forms ⋮ A geometric view on Iwasawa theory

Cites Work

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• On the eigencurve at classical weight 1 points
• Subgroups of \(\mathrm{GL}_2\) and trees.
• Critical \(p\)-adic \(L\)-functions
• Geometric level raising and lowering on the eigencurve
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Galois representations associated to Siegel modular forms of low weight
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• On classical weight one forms in Hida families
• Local to global compatibility on the eigencurve
• On higher p-adic regulators
• 2-Adic and 3-Adic Ordinals of (1/j )-Expansion Coefficients for the Weight 2 Eisenstein Series
• LISSITÉ DE LA COURBE DE HECKE DE $\mathrm{GL}_2$ AUX POINTS EISENSTEIN CRITIQUES

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