Fields with bounded Brauer 2-torsion index

RT @mathRAb: Karim Johannes Becher: Fields with bounded Brauer $2$-torsion index https://t.co/JJV4kaiKHj https://t.co/7n7Z8eOvnh

RT @mathRAb: Karim Johannes Becher: Fields with bounded Brauer $2$-torsion index https://t.co/JJV4kaiKHj https://t.co/7n7Z8eOvnh

based on computations with quadratic trace forms of central simple algebras. [2/2 of https://t.co/VRKLwaAN9G]

It is shown that, over a field of characteristic not $2$, the dimension of an anisotropic quadratic Pfister form of trivial total signature is at most twice the dimension of some central division algebra of exponent $2$. The proof is [1/2 of https://t.co/V