On the weights of mod $p$ Hilbert modular forms

Details On the weights of mod $p$ Hilbert modular forms On the weights of mod $p$ Hilbert modular forms

2006-01-21

arxiv.org/abs/math/0601516v3

Mathematics

Number Theory

34 pages. Essentially final version, to appear in Inventiones mathematicae. This version does not incorporate any minor change

Scientific paper

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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