Matching Witts locally and globally
Kazimierz Szymiczek · Czech digital mathematics library · 1991
Reciprocity-equivalence of global fields is a set of local conditions implying the Witt equivalence of global fields, that is, the existence of an isomorphism of their Witt rings of symmetric bilinear forms.This paper proves the conjecture that Witt equivalence of global fields actually coincides with reciprocity equivalence.