e/Birational geometry

Information
has gloss	eng: In mathematics, birational geometry is a part of the subject of algebraic geometry, that deals with the geometry of an algebraic variety that is dependent only on its function field. In the case of dimension two, the birational geometry of algebraic surfaces was largely worked out by the Italian school of algebraic geometry in the years 1890–1910. From about 1970 advances have been made in higher dimensions, giving a good theory of birational geometry for dimension three.
lexicalization	eng: Birational geometry
instance of	c/Algebraic varieties

Meaning
Arabic
has gloss	ara: في الرياضيات ، الهندسة ثنائية الإنطاق birational geometry هي أحد فروع الهندسة الجبرية التي تتعامل مع هندسة التغيرات الجبرية algebraic variety المعتمدة فقط على حقل الدوال .
lexicalization	ara: هندسة ثنائية الإنطاق
Portuguese
has gloss	por: Em matemática, geometria biracional é uma parte da geometria algébrica, que trata da geometria de uma variedade algébrica que é dependente somente de sua função corpo. No caso da segunda dimensão, a geometria biracional de superfícies algébricas foi grandemente trabalhada pela escola italiana de geometria algébrica nos anos 1890–1910. Desde aproximadamente 1970 avanços tem sido feitos em mais altas dimensões, dando uma boa teoria de geometria biracional para três dimensões.
lexicalization	por: geometria biracional
Chinese
has gloss	zho: 在代數幾何中，雙有理幾何處理的是代數簇在雙有理等價之下不變的性質，也就是由其函數域決定的性質。這些性質包括維度、算術虧格、幾何虧格、小平維度等等。
lexicalization	zho: 雙有理幾何