Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms
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Publication:1717654
DOI10.1007/s00222-018-0825-xzbMath1443.11113OpenAlexW2895651382MaRDI QIDQ1717654
Publication date: 8 February 2019
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://qmro.qmul.ac.uk/xmlui/handle/123456789/61611
Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items (11)
Vanishing Fourier coefficients of Hecke eigenforms ⋮ Nearby cycles of automorphic étale sheaves ⋮ A Serre weight conjecture for geometric Hilbert modular forms in characteristic \(p\) ⋮ UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES ⋮ GEOMETRIC WEIGHT-SHIFTING OPERATORS ON HILBERT MODULAR FORMS IN CHARACTERISTIC p ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ ON THE GEOMETRY OF THE PAPPAS–RAPOPORT MODELS FOR PEL SHIMURA VARIETIES ⋮ Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms ⋮ Galois representations and torsion in the coherent cohomology of Hilbert modular varieties ⋮ On the modularity of 2-adic potentially semi-stable deformation rings ⋮ Compactifications of splitting models of PEL-type Shimura varieties
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