ON MODULAR WEIGHTS OF GALOIS REPRESENTATIONS

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Abstract

Let F be a totally real field and ρ : Gal(F /F) → GL2(Fp) a Galois representation whose restriction to a decomposition group at some place dividing p is irreducible. Suppose that ρ is modular of some weight σ. We specify a set of weights, not containing σ, such that ρ is modular for at least one weight in this set
Original languageAmerican English
Pages (from-to)537-542
JournalMath. Research Letters
Volume15
Issue number3
StatePublished - 2008

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