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The transfer ideal of quadratic forms and a Hasse norm theorem mod squares

The transfer ideal of quadratic forms and a Hasse norm theorem mod squares

Any finite degree field extension <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper K slash upper F"> <mml:semantics> <mml:mrow> <mml:mi>K</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>F</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">K/F</mml:annotation> </mml:semantics> </mml:math> </inline-formula> determines an ideal <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper T Subscript upper K slash upper F"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> …