Rational Variety

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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