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AffineVariety -- the class of all affine varieties

The type AffineVariety is a member of the class Type. Each object of class AffineVariety is called an affine variety. Each affine variety is also a member of class Variety.

More general types (whose methods may also apply) :

  • Variety -- the class of all algebraic varieties
  • MutableHashTable -- the class of all mutable hash tables
  • HashTable -- the class of all hash tables
  • To create an affine variety, use Spec.

    i1 : Spec(QQ[x,y])

    o1 = Spec(QQ [x, y])

    o1 : AffineVariety

    Functions and methods returning a an affine variety :

  • AffineVariety * AffineVariety
  • AffineVariety ** Ring
  • Spec Ring
  • Methods for using an affine variety :

  • ambient AffineVariety
  • dim AffineVariety
  • expression AffineVariety

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