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- W1501756132 abstract "We prove that for any abelian variety <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A> <mml:semantics> <mml:mi>A</mml:mi> <mml:annotation encoding=application/x-tex>A</mml:annotation> </mml:semantics> </mml:math> </inline-formula> defined over a number field <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper K> <mml:semantics> <mml:mi>K</mml:mi> <mml:annotation encoding=application/x-tex>K</mml:annotation> </mml:semantics> </mml:math> </inline-formula> that is not isogenous to a product of CM elliptic curves, the pontrjagin dual of the Selmer group of the abelian variety over the trivializing extension <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper K left-parenthesis upper A left-bracket p Superscript normal infinity Baseline right-bracket right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>K</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>A</mml:mi> <mml:mo stretchy=false>[</mml:mo> <mml:msup> <mml:mi>p</mml:mi> <mml:mi mathvariant=normal>∞<!-- ∞ --></mml:mi> </mml:msup> <mml:mo stretchy=false>]</mml:mo> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>K(A[p^infty ])</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has no nonzero pseudo-null submodules." @default.
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- W1501756132 date "2005-08-11" @default.
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- W1501756132 title "A note on Selmer groups of abelian varieties over the trivializing extensions" @default.
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- W1501756132 doi "https://doi.org/10.1090/s0002-9939-05-08292-4" @default.
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