Geodesic
The indices of central simple algebras over function fields of projective spaces over $P_{n,r}$-fields
Sbornik. Mathematics, Tome 193 (2002) no. 11, pp. 1691-1705

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$K$ be a field of characteristic zero and $\operatorname{Br}K$ its Brauer group. Bounds for the indices of elements of $\operatorname{Br}K$ depending on their exponents are obtained for function fields $K$ of projective spaces and projective curves defined over a $P_{n,r}$-fields. 
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     author = {S. V. Tikhonov and V. I. Yanchevskii},
     title = {The indices of central simple algebras over function fields of projective spaces over $P_{n,r}$-fields},
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     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_11_a4/}
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S. V. Tikhonov; V. I. Yanchevskii. The indices of central simple algebras over function fields of projective spaces over $P_{n,r}$-fields. Sbornik. Mathematics, Tome 193 (2002) no. 11, pp. 1691-1705. http://geodesic.mathdoc.fr/item/SM_2002_193_11_a4/