𝑅=𝑇 theorems for weight one modular forms (Q6051569)

scientific article; zbMATH DE number 7752630

Language	Label	Description	Also known as
English	𝑅=𝑇 theorems for weight one modular forms	scientific article; zbMATH DE number 7752630

Statements

instance of

scholarly article

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title

𝑅=𝑇 theorems for weight one modular forms (English)

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Transactions of the American Mathematical Society

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publication date

20 October 2023

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full work available at URL

https://arxiv.org/abs/2203.09434

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https://eprints.whiterose.ac.uk/200100/1/BergerKlosin_TAMS_v3.pdf

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zbMATH Keywords

Galois deformations

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Hecke algebra

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Eisenstein ideal

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reducibility ideal

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weight one modular forms

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MaRDI profile type

MaRDI publication profile

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cites work

LISSITÉ DE LA COURBE DE HECKE DE $\mathrm{GL}_2$ AUX POINTS EISENSTEIN CRITIQUES

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Q3558905

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On the eigencurve at classical weight 1 points

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On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve

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An $R = T$ theorem for imaginary quadratic fields

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On deformation rings of residually reducible Galois representations and $R = T$ theorems

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Modularity of residual Galois extensions and the Eisenstein ideal

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Deformations of Saito-Kurokawa type and the Paramodular Conjecture

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On higher congruences between automorphic forms

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Congruences with Eisenstein series and -invariants

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Companion forms and weight one forms

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Class groups and local indecomposability for non-CM forms

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On classical weight one forms in Hida families

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STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE

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Formes modulaires de poids $1$

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Congruences of local origin and automorphic induction

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Q4841156

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The Iwasawa invariant $\mu_p$ vanishes for abelian number fields

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Iwasawa modules attached to congruences of cusp forms

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The Fontaine-Mazur conjecture for $ {GL}_2$

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Modular Forms

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Class fields of abelian extensions of $\mathbb Q$

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Q3800159

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Q4254917

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Companion forms and the structure of<i>p</i>-adic Hecke algebras

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The Fontaine-Mazur conjecture in the residually reducible case

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On locally analytic vectors of the completed cohomology of modular curves

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A modular construction of unramified p-extensions of $\mathbb{Q}(\mu_p)$

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Euler Systems

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Continuous cohomology and $p$-adic Galois representations

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Q4141905

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Ordinary representations and modular forms

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Residually reducible representations and modular forms

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Integral Normal Bases in Galois Extensions of Local Fields

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Selmer groups and the Eisenstein-Klingen ideal.

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Q5690489

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On ordinary $\lambda$-adic representations associated to modular forms

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The Iwasawa conjecture for totally real fields

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Modular elliptic curves and Fermat's Last Theorem

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The rank of Mazur's Eisenstein ideal

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The Eisenstein ideal with squarefree level

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Identifiers

arXiv ID

2203.09434

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6051569