algebraic map
A map f:X→Y between quasi-affine varieties X⊂kn,Y⊂km over a field k is called if there is a map f′:kn→km whose component functions are polynomials, such that f′ restricts to f on X.
Alternatively, f is algebraic if the pullback map f*:C(Y)→C(X) maps the coordinate ring of Y, k[Y], to the coordinate ring of X, k[X].
Title | algebraic map |
---|---|
Canonical name | AlgebraicMap |
Date of creation | 2013-03-22 13:53:41 |
Last modified on | 2013-03-22 13:53:41 |
Owner | mathcam (2727) |
Last modified by | mathcam (2727) |
Numerical id | 7 |
Author | mathcam (2727) |
Entry type | Definition |
Classification | msc 14A10 |
Synonym | algebraic |