A remark on uniform boundedness for Brauer groups
Cadoret, Anna · Charles, François
Original · EN
The Tate conjecture for divisors on varieties over number fields is equivalent to finiteness of ℓ-primary torsion in the Brauer group. We show that this finiteness is actually uniform in one-dimensional families for varieties that satisfy the Tate conjecture for divisors -- e.g. abelian varieties and K3 surfaces.
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