We prove that the anisotropy of quadratic forms over any global field of characteristic not equal to 2 is diophantine, by using a generalization of the method of Koenigsmann and some known results in diophantine sets and quadratic forms.
Ill-distributed sets over global fields and exceptional sets in Diophantine Geometry
The $μ$-invariant change for abelian varieties over finite $p$-extensions of global fields
Galois cohomology of reductive groups over global fields
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