Affine Algebraic Varieties

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

Abstract

Algebraic geometers study zero loci of polynomials. More accurately, they study geometric objects, called algebraic varieties, that can be described locally as zero loci of polynomials. For example, every high school mathematics student has studied a bit of algebraic geometry, in learning the basic properties of conic sections such as parabolas and hyperbolas.

Keywords

Algebraic Geometry Irreducible Component Algebraic Variety Zariski Topology Euclidean 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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