e/Rational variety

Information
has gloss	eng: In mathematics, a rational variety is an algebraic variety, over a given field K, which is birationally equivalent to projective space of some dimension over K. This is a question on its function field: is it up to isomorphism
lexicalization	eng: Lueroth's problem
lexicalization	eng: Lueroth's theorem
lexicalization	eng: Luroth's problem
lexicalization	eng: Luroth's theorem
lexicalization	eng: Lüroth's problem
lexicalization	eng: Lüroth's Theorem
lexicalization	eng: rational variety
instance of	c/Algebraic varieties

Meaning
Chinese
has gloss	zho: 在數學中的代數幾何領域，域 K 上的有理簇是一個雙有理等價於射影空間 \mathbbP}_K^n（n \in \N）的代數簇。有理性僅依賴於其函數域，更明確地說，代數簇 X 是有理簇若且唯若 K(X) \simeq K(T_1, \ldots, T_n) \;(n \in \N)，其中 T_1, \ldots, T_n 是獨立的變元。
lexicalization	zho: 有理簇