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- W2334247092 abstract "We prove that some fields generated by <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=j> <mml:semantics> <mml:mi>j</mml:mi> <mml:annotation encoding=application/x-tex>j</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-invariants of CM elliptic curves (of infinite dimension over <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper Q> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>Q</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathbb {Q}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>) satisfy the Property (B). The singular moduli are chosen so as to have supersingular reduction simultaneously above a fixed prime <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=q> <mml:semantics> <mml:mi>q</mml:mi> <mml:annotation encoding=application/x-tex>q</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, which provides strong <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=q> <mml:semantics> <mml:mi>q</mml:mi> <mml:annotation encoding=application/x-tex>q</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-adic estimates leading to an explicit lower bound for the height." @default.
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- W2334247092 date "2016-03-18" @default.
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- W2334247092 title "Small height in fields generated by singular moduli" @default.
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