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Projective Varieties

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

Abstract

Affine space A n has a natural compactification, the projective space ℙ n , obtained by adding an infinitely distant point in every direction. The goal of this chapter is to introduce projective space and projective varieties and to interpret them as natural compactifications of affine varieties.

Keywords

Projective Space Algebraic Variety Homogeneous Polynomial Projective Variety Zariski Topology 
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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