On a local-global principle for H³ of function fields of surfaces over a finite field
classification
🧮 math.NT
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fieldelementsfinitefunctionlocal-globalprinciplearticledivisibility
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Let K be the function field of a smooth projective surface over a finite field. In this article, following the work of Parimala and Suresh, we establish a local-global principle for the divisibility of elements in H^3(K,Z/l) by elements in H^2(K,Z/l).
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