On the weights of mod p Hilbert modular forms
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- Gee, T. Invent. math. (2011) 184: 1. doi:10.1007/s00222-010-0284-5
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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.