Twists of extension classes Sample Clauses

Twists of extension classes. We will next study what happens to ex- tension classes after twisting, first in the setting of Galois representations. Suppose we have a representation ρ : GK → Fp, and suppose ρ ψ1 ∗ , 0 ψ2 is such that cρ ∈ Lψ1 ,ψ2 . This means that the representation corresponding to cρ has a crystalline lift of the form ! ψ1 ∗ .
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