On the observability of Galois representations and the Tate conjecture
Journal of Number Theory(2023)
Abstract
The Tate conjecture has two parts: i) Tate classes are linear combination of algebraic classes, ii) semisimplicity of Galois representations (for smooth projective varieties). B. Moonen proved that i) implies ii) in characteristic 0, using p-adic Hodge theory.
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Key words
11G,14F,14L
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