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单词 Normal algebraic variety
释义

Normal algebraic variety

英语百科

Normal scheme

(重定向自Normal algebraic variety)

In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally closed domain. An affine variety X (understood to be irreducible) is normal if and only if the ring O(X) of regular functions on X is an integrally closed domain. A variety X over a field is normal if and only if every finite birational morphism from any variety Y to X is an isomorphism.

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更新时间:2025/6/18 3:16:26