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单词 Birational morphism
释义

Birational morphism

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双有理几何 Birational geometry

(重定向自Birational morphism)

在代数几何中,双有理几何处理的是代数簇在双有理等价之下不变的性质,也就是由其函数域决定的性质。这些性质包括维度、算术亏格、几何亏格、小平维度等等。

英语百科

Birational geometry 双有理几何

(重定向自Birational morphism)
The circle is birationally equivalent to the line. One birational map between them is stereographic projection, pictured here.

In mathematics, birational geometry is a field of algebraic geometry the goal of which is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles.

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更新时间:2025/6/16 22:59:55