An entire Cremona transformation is a birational transformation of the plane. Cremona transformations are maps of the form
 |  |  |
(1)
|
 |  |  |
(2)
|
in which 
and 
are polynomials. A quadratic Cremona transformation
is always factorable.
Cremona Transformation
See also
Noether's Transformation TheoremExplore with Wolfram|Alpha
References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, pp. 203-204, 1959.Coolidge, J. L. A History of Geometrical Methods. New York: Dover, p. 287, 1963.Eddy, R. H. and Fritsch, R. "The Conics of Ludwig Kiepert: A Comprehensive Lesson in the Geometry of the Triangle." Math. Mag. 67, 188-205, 1994.Referenced on Wolfram|Alpha
Cremona TransformationCite this as:
Weisstein, Eric W. "Cremona Transformation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CremonaTransformation.html