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:
“The poet makes himself a seer by a long, prodigious, and rational disordering of all the senses. Every form of love, of suffering, of madness; he searches himself, he consumes all the poisons in him, and keeps only their quintessences.”
—Arthur Rimbaud (1854–1891)
“The best bribe which London offers to-day to the imagination, is, that, in such a vast variety of people and conditions, one can believe there is room for persons of romantic character to exist, and that the poet, the mystic, and the hero may hope to confront their counterparts.”
—Ralph Waldo Emerson (1803–1882)