On a local-global principle for $H^3$ of function fields of surfaces over a finite field

preprint2013arXivOpen access

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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On a local-global principle for $H^3$ of function fields of surfaces over a finite field

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On a local-global principle for H3H^3H3 of function fields of surfaces over a finite field

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On a local-global principle for $H^3$ of function fields of surfaces over a finite field