English Dictionary

birational geometry

名詞

不可算名詞

(algebraic geometry) A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.

日本語の意味

代数多様体の低次元部分集合を除いた部分、すなわち大部分で2つの代数多様体が同型（双有理同型）となる条件を明らかにする代数幾何学の一分野

Recent research in birational geometry has revealed surprising connections between rational maps and the minimal model program.

双有理幾何学の最近の研究は、有理写像と最小モデル計画との間に驚くべき関連があることを明らかにした。

意味（1）

(algebraic geometry) A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.

Birational geometry amounts to the study of mappings given by rational functions rather than polynomials.