Tame and wild kernels of quadratic imaginary number fields
Tame and wild kernels of quadratic imaginary number fields
For all quadratic imaginary number fields <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F"> <mml:semantics> <mml:mi>F</mml:mi> <mml:annotation encoding="application/x-tex">F</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of discriminant <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d greater-than negative 5000 comma"> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>></mml:mo> <mml:mo>−<!-- − --></mml:mo> <mml:mn>5000</mml:mn> <mml:mo>,</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">d>-5000,</mml:annotation> </mml:semantics> </mml:math> </inline-formula> we give the conjectural value …