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 of indeterminates, where *d* is the dimension of the variety.

Read more about Rational Variety: Rationality and Parameterization, Rationality Questions, Classical Results, Unirationality, Rationally Connected Variety

### Other articles related to "rational variety, variety, rational":

**Rational Variety**- Rationally Connected Variety

... A rationally connected

**variety**V is a projective algebraic

**variety**over an algebraically closed field such that through every two points there passes the image of a regular ... Equivalently, a

**variety**is rationally connected if every two points are connected by a

**rational**curve contained in the

**variety**... as the only algebraic curves which are rationally connected are the

**rational**ones ...

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—Ishmael Reed (b. 1938)