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math.RA2019★ 1 cited
Splitting quaternion algebras defined over a finite field extension
Karim Johannes Becher, Fatma Kader Bingöl, David B. Leep
We study systems of quadratic forms over fields and their isotropy over 2-extensions. We apply this to obtain particular splitting fields for quaternion algebras defined over a fin…
math.AC2019
A ruled residue theorem for function fields of conics
Parul Gupta, Karim Johannes Becher
The ruled residue theorem characterises residue field extensions for valuations on a rational function field. Under the assumption that the characteristic of the residue field is d…