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In mathematics, the Néron–Ogg–Shafarevich criterion states that an elliptic curve or abelian variety ''A'' over a local field ''K'' has good reduction if, and only if, there is a prime ℓ not dividing the characteristic of the residue field of ''K'' (or equivalently, for all such primes) such that the ℓ-adic Tate module ''T''ℓ of ''A'' is unramified. introduced the criterion for elliptic curves. used the results of to extend it to abelian varieties, and named the criterion after Ogg, Néron and Igor Shafarevich (commenting that Ogg's result seems to have been known to Shafarevich). ==References== * * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Néron–Ogg–Shafarevich criterion」の詳細全文を読む スポンサード リンク
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