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 happiness of a people is the only rational object of government, and the only object for which a people, free to choose, can have a government at all.”
—Frances Wright (1795–1852)
“Is a Bill of Rights a security for [religious liberty]? If there were but one sect in America, a Bill of Rights would be a small protection for liberty.... Freedom derives from a multiplicity of sects, which pervade America, and which is the best and only security for religious liberty in any society. For where there is such a variety of sects, there cannot be a majority of any one sect to oppress and persecute the rest.”
—James Madison (1751–1836)