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Mordellic variety : ウィキペディア英語版 | Mordellic variety In mathematics, a Mordellic variety is an algebraic variety which has only finitely many points in any finitely generated field. The terminology was introduced by Serge Lang to enunciate a range of conjectures linking the geometry of varieties to their Diophantine properties. ==Formal definition==
Formally, let ''X'' be a variety defined over an algebraically closed field of characteristic zero: hence ''X'' is defined over a finitely generated field ''E''. If the set of points ''X''(''F'') is finite for any finitely generated field extension ''F'' of ''E'', then ''X'' is Mordellic.
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「Mordellic variety」の詳細全文を読む
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