Regular Map (algebraic geometry)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebraic geometry, a regular map between affine varieties is a mapping which is given by polynomials. For example, if X and Y are subvarieties of An resp. Am, then a regular map from X to Y is given by m polynomials in the n coordinates of An. More generally, a map :X Y between two varieties is regular at a point x if there is a neighbourhood U of x and a neighbourhood V of (x) such that the restricted function :U V is regular. Then is called regular, if it is reg...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebraic geometry, a regular map between affine varieties is a mapping which is given by polynomials. For example, if X and Y are subvarieties of An resp. Am, then a regular map from X to Y is given by m polynomials in the n coordinates of An. More generally, a map :X Y between two varieties is regular at a point x if there is a neighbourhood U of x and a neighbourhood V of (x) such that the restricted function :U V is regular. Then is called regular, if it is regular at all points of X.
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