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arXiv · 1709.04489

A remark on the Tate conjecture

Ben Moonen
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Abstract

The Tate conjecture has two parts: an assertion (S) about semisimplicity of Galois representations, and an assertion (T) which says that every Tate class is algebraic. We show that in characteristic 0, (T) implies (S). In characteristic p an analogous result is true under stronger assumptions.

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Ben Moonen. 2017-09-13. A remark on the Tate conjecture. https://arxiv.org/abs/1709.04489

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