An approach to the Tate conjecture for surfaces over a finite field
An approach to the Tate conjecture for surfaces over a finite field
We give a reformuation of the Tate conjecture for a surface over a finite field in terms of suitable affine open subsets. We then present three attempts to prove this reformulation, each of them falling short. Interestingly, the last two are related to techniques used in proofs of Gersten's conjecture.
Bruno Kahn
数学
Bruno Kahn.An approach to the Tate conjecture for surfaces over a finite field[EB/OL].(2025-05-12)[2025-07-16].https://arxiv.org/abs/2505.07337.点此复制
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