Local indecomposability of Hilbert modular Galois representations

DOI10.5802/aif.2889zbMath1306.11046arXiv1204.4007OpenAlexW2964045551MaRDI QIDQ486809

Bin Zhao

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4007

zbMATH Keywords

Galois representationcomplex multiplicationHilbert modular formsmodular Shimura varieties

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Arithmetic ground fields for abelian varieties (14K15)

Related Items

Class groups and local indecomposability for non-CM forms ⋮ The universal ordinary deformation ring associated to a real quadratic field ⋮ Classical weight one forms in Hida families: Hilbert modular case ⋮ A numerical approach toward the \(p\)-adic Beilinson conjecture for elliptic curves over \(\mathbb{Q}\) ⋮ Growth of Hecke Fields Along a p-Adic Analytic Family of Modular Forms ⋮ Control of $$\Lambda $$ -adic Mordell–Weil Groups

Cites Work

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• On local Galois representations associated to ordinary Hilbert modular forms
• \(p\)-adic \(L\)-functions for CM fields
• The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions
• On \(p\)-adic representations for totally real fields
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• On ordinary \(\lambda\)-adic representations associated to modular forms
• On the local behaviour of ordinary \(\Lambda\)-adic representations.
• On analytic families of polarized abelian varieties and automorphic functions
• Good reduction of abelian varieties
• Lectures on Hilbert Modular Varieties and Modular Forms
• Anticyclotomic p-adic L-function of Central Critical Rankin-Selberg L-value
• On Abelian Varieties with Complex Multiplication as Factors of the Jacobians of Shimura Curves
• Families of Modular Eigenforms
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• Geometric Invariant Theory
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication
• Classical and overconvergent modular forms