Lifting Galois representations over arbitrary number fields

Lifting Galois representations over arbitrary number fields

It is proved that every two-dimensional residual Galois representation of the absolute Galois group of an arbitrary number field lifts to a characteristic zero \(p\)-adic representation, if local lifting problems at places above \(p\) are unobstructed.

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2008-09
1. Verfasser: Tomiyama, Yoshiyuki
Format: Artikel
Sprache:eng
Schlagworte:
Number theory
Representations
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Beschreibung
Zusammenfassung:It is proved that every two-dimensional residual Galois representation of the absolute Galois group of an arbitrary number field lifts to a characteristic zero \(p\)-adic representation, if local lifting problems at places above \(p\) are unobstructed.
ISSN:2331-8422