Geodesic
Finite $u$ invariant and bounds on cohomology symbol lengths
Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 577-590.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this note we answer a question of Parimala's, showing that fields with finite $u$ invariant have bounds on the symbol lengths in their $\mu_2$ cohomology in all degrees.
Classification : 12G05, 11E04
Keywords: $u$ invariant, symbol length 
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     author = {Saltman, David J.},
     title = {Finite $u$ invariant and bounds on cohomology symbol lengths},
     journal = {Documenta mathematica},
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Saltman, David J. Finite $u$ invariant and bounds on cohomology symbol lengths. Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 577-590. http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a0/