Quasi-Projective Varieties

  • Karen E. Smith
  • Lauri Kahanpää
  • Pekka Kekäläinen
  • William Traves
Part of the Universitext book series (UTX)

Abstract

We have developed the theory of affine and projective varieties separately. We now introduce the concept of a quasi-projective variety, a term that encompasses both cases. More than just a convenience, the notion of a quasi-projective variety will eventually allow us to think of an algebraic variety as an intrinsically defined geometric object, free from any particular embedding in affine or projective space.

Keywords

Projective Space Algebraic Variety Projective Variety Regular Function Affine Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Karen E. Smith
    • 1
  • Lauri Kahanpää
    • 2
  • Pekka Kekäläinen
    • 3
  • William Traves
    • 4
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsUniversity of JyvaeskylaeJyvaeskylaeFinland
  3. 3.Department of Computer Science and Applied MathematicsUniversity of KuopioKuopioFinland
  4. 4.US Naval AcademyAnnapolisUSA

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