2 problems

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Artin–Tate conjecture for surfaces over finite fields
Artin–Tate conjecture.
Conjecturesolvedartin-tate-conjecture brauer-groups surfaces-over-finite-fieldsarXiv posted 2 days ago
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Tate's equivalence conjecture for BSD and Artin–Tate
Let $f\colon X\rightarrow C$ be a smooth projective surface fibration over a smooth projective curve over $k=\mathbb{F}_q$ , with smooth generic fibre $X_\eta$ over $K=k(C)$ , and le…
Conjectureopenarithmetic-duality artin-tate-conjecture birch-swinnerton-dyerarXiv posted 2 days ago

Artin–Tate conjecture for surfaces over finite fields