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单词 Ample
释义

ample


An invertible sheaf 𝔏 on a scheme X is called ample if for any coherent sheaf 𝔉, 𝔉𝔏n is generated by global sections for sufficiently large n.

An invertible sheaf is ample if and only if 𝔏m is very ample for some m; this is very often taken as the definition of ample, which can be surprising.

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更新时间:2025/5/4 5:36:55