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In mathematics, a rational variety is an algebraic variety, over a given field K, which is birationally equivalent to a projective space of some dimension over K. This means that its function field is isomorphic to
the field of all rational functions for some set { U 1 , … , U d } {\displaystyle \{U_{1},\dots ,U_{d}\}} of indeterminates, where d is the dimension of the variety.
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