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:
“... there is no such thing as a rational world and a separate irrational world, but only one world containing both.”
—Robert Musil (1880–1942)
“If variety is capable of filling every hour of the married state with the highest joy, then might it be said that Lord and Lady Dellwyn were completely blessed, for every idea that had the power of raising pleasure in the bosom of the one, depressed that of the other with sorrow and affliction.”
—Sarah Fielding (1710–1768)