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单词 Finite morphism
释义

Finite morphism

英语百科

Finite morphism

In algebraic geometry, a morphism f: XY of schemes is a finite morphism if Y has an open cover by affine schemes

such that for each i,

is an open affine subscheme Spec Ai, and the restriction of f to Ui, which induces a ring homomorphism

makes Ai a finitely generated module over Bi. One also says that X is finite over Y.

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更新时间:2025/6/17 6:17:26