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Non-minimal modularity lifting in weight one.
- Source :
- Journal für die Reine und Angewandte Mathematik; Jul2018, Vol. 2018 Issue 740, p41-62, 22p
- Publication Year :
- 2018
-
Abstract
- We prove an integral R = 𝐓 {R=\mathbf{T}} theorem for odd two-dimensional <italic>p</italic>-adic representations of G 𝐐 {G_{\mathbf{Q}}} which are unramified at <italic>p</italic>, extending results of [<xref>5</xref>] to the non-minimal case. We prove, for any <italic>p</italic>, the existence of Katz modular forms modulo <italic>p</italic> of weight one which do not lift to characteristic zero. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2018
- Issue :
- 740
- Database :
- Complementary Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 130540337
- Full Text :
- https://doi.org/10.1515/crelle-2015-0071