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A note on the behaviour of the Tate conjecture under finitely generated field extensions. (arXiv:1810.06480v1 [math.AG])

来源于:arXiv
We show that the $\ell$-adic Tate conjecture for divisors on smooth proper varieties over finitely generated fields of positive characteristic follows from the $\ell$-adic Tate conjecture for divisors on smooth projective surfaces over finite fields. Similar results for cycles of higher co-dimension are given. 查看全文>>