On the weights of mod p Hilbert modular forms

On the weights of mod p Hilbert modular forms

We prove many cases of a conjecture of Buzzard, Diamond and Jarvis on the possible weights of mod p Hilbert modular forms, by making use of modularity lifting theorems and computations in p -adic Hodge theory.

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Veröffentlicht in:Inventiones mathematicae 2011-04, Vol.184 (1), p.1-46
1. Verfasser: Gee, Toby
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We prove many cases of a conjecture of Buzzard, Diamond and Jarvis on the possible weights of mod p Hilbert modular forms, by making use of modularity lifting theorems and computations in p -adic Hodge theory.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-010-0284-5