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
Famous quotes containing the words rational and/or variety:
“Every rational creature has all nature for his dowry and estate. It is his, if he will. He may divest himself of it; he may creep into a corner, and abdicate his kingdom, as most men do, but he is entitled to the world by his constitution.”
—Ralph Waldo Emerson (1803–1882)
“Gradually we come to admit that Shakespeare understands a greater extent and variety of human life than Dante; but that Dante understands deeper degrees of degradation and higher degrees of exaltation.”
—T.S. (Thomas Stearns)