Non-minimal modularity lifting in weight one
We prove an integral theorem for odd two-dimensional -adic representations of which are unramified at , extending results of [ ] to the non-minimal case. We prove, for any , the existence of Katz modular forms modulo of weight one which do not lift to characteristic zero.
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| Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2018-07, Vol.2018 (740), p.41-62 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove an integral
theorem for odd two-dimensional
-adic representations of
which are unramified at
,
extending results of [
]
to the non-minimal case. We prove, for any
, the existence
of Katz modular forms modulo
of weight one which do not lift to
characteristic zero. |
|---|---|
| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2015-0071 |