A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions
A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions
We generalize Contou-Carrère symbols to higher dimensions. To an <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis n plus 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>n</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(n+1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-tuple <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f 0 comma ellipsis comma f Subscript n Baseline element-of upper A left-parenthesis …