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Unramifiedness of weight one Hilbert Hecke algebras
Deo, Shaunak; Dimitrov, Mladen; Wiese, Gabor


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Abstract :
[en] We prove that the Galois pseudo-representation valued in the mod p^n parallel weight 1 Hecke algebra for GL(2) over a totally real number field F is unramified at a place above p if p-1 does not divide the ramification index at that place. A novel geometric ingredient is the construction and study, in the case when p ramifies in F, of generalised Theta-operators using Reduzzi-Xiao's generalised Hasse invariants, including especially an injectivity criterion in terms of minimal weights.
Disciplines :
Author, co-author :
Deo, Shaunak
Dimitrov, Mladen
Wiese, Gabor ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
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Title :
Unramifiedness of weight one Hilbert Hecke algebras
Publication date :
Funders :
Fonds National de la Recherche - FnR & Agence National de la Recherche (France): INTER/ANR/18/12589973


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